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Finding the Fourth Proportional to 7,814.82, 10,776.12 and 6,387.84

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Solution

The fourth proportional to 7,814.82, 10,776.12 and 6,387.84 is: 8,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.82 : 10,776.12 = 6,387.84 : x
  2. Step 2: Convert to fraction form
    7,814.82/10,776.12 = 6,387.84/x
  3. Step 3: Cross multiply
    7,814.82x = 10,776.12 × 6,387.84
  4. Step 4: Simplify right side
    7,814.82x = 68,836,130.38
  5. Step 5: Solve for x
    x = 68,836,130.38/7,814.82
  6. Step 6: Final answer
    x = 8,808.41

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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.