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Finding the Fourth Proportional to 7,786,179.84, 11,676,564.48 and 4,333,188.48

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Solution

The fourth proportional to 7,786,179.84, 11,676,564.48 and 4,333,188.48 is: 6,498,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786,179.84 : 11,676,564.48 = 4,333,188.48 : x
  2. Step 2: Convert to fraction form
    7,786,179.84/11,676,564.48 = 4,333,188.48/x
  3. Step 3: Cross multiply
    7,786,179.84x = 11,676,564.48 × 4,333,188.48
  4. Step 4: Simplify right side
    7,786,179.84x = 50,596,754,690,713.20
  5. Step 5: Solve for x
    x = 50,596,754,690,713.20/7,786,179.84
  6. Step 6: Final answer
    x = 6,498,277.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.