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Finding the Fourth Proportional to 10,569.38, 15,854.91 and 3,549.42

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Solution

The fourth proportional to 10,569.38, 15,854.91 and 3,549.42 is: 5,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.38 : 15,854.91 = 3,549.42 : x
  2. Step 2: Convert to fraction form
    10,569.38/15,854.91 = 3,549.42/x
  3. Step 3: Cross multiply
    10,569.38x = 15,854.91 × 3,549.42
  4. Step 4: Simplify right side
    10,569.38x = 56,275,734.65
  5. Step 5: Solve for x
    x = 56,275,734.65/10,569.38
  6. Step 6: Final answer
    x = 5,324.41

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