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Finding the Fourth Proportional to 10,045.38, 13,862.24 and 5,569.20

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Solution

The fourth proportional to 10,045.38, 13,862.24 and 5,569.20 is: 7,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.38 : 13,862.24 = 5,569.20 : x
  2. Step 2: Convert to fraction form
    10,045.38/13,862.24 = 5,569.20/x
  3. Step 3: Cross multiply
    10,045.38x = 13,862.24 × 5,569.20
  4. Step 4: Simplify right side
    10,045.38x = 77,201,489.85
  5. Step 5: Solve for x
    x = 77,201,489.85/10,045.38
  6. Step 6: Final answer
    x = 7,685.28

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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.