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Finding the Fourth Proportional to 10,763,978.84, 14,857,890.30 and 6,414,429.08

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Solution

The fourth proportional to 10,763,978.84, 14,857,890.30 and 6,414,429.08 is: 8,854,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763,978.84 : 14,857,890.30 = 6,414,429.08 : x
  2. Step 2: Convert to fraction form
    10,763,978.84/14,857,890.30 = 6,414,429.08/x
  3. Step 3: Cross multiply
    10,763,978.84x = 14,857,890.30 × 6,414,429.08
  4. Step 4: Simplify right side
    10,763,978.84x = 95,304,883,607,769.94
  5. Step 5: Solve for x
    x = 95,304,883,607,769.94/10,763,978.84
  6. Step 6: Final answer
    x = 8,854,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.