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Finding the Fourth Proportional to 10,542.38, 14,549.94 and 6,066.05

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Solution

The fourth proportional to 10,542.38, 14,549.94 and 6,066.05 is: 8,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.38 : 14,549.94 = 6,066.05 : x
  2. Step 2: Convert to fraction form
    10,542.38/14,549.94 = 6,066.05/x
  3. Step 3: Cross multiply
    10,542.38x = 14,549.94 × 6,066.05
  4. Step 4: Simplify right side
    10,542.38x = 88,260,663.54
  5. Step 5: Solve for x
    x = 88,260,663.54/10,542.38
  6. Step 6: Final answer
    x = 8,371.99

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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.