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Finding the Fourth Proportional to 10,569.40, 15,854.10 and 3,173.92

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Solution

The fourth proportional to 10,569.40, 15,854.10 and 3,173.92 is: 4,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.40 : 15,854.10 = 3,173.92 : x
  2. Step 2: Convert to fraction form
    10,569.40/15,854.10 = 3,173.92/x
  3. Step 3: Cross multiply
    10,569.40x = 15,854.10 × 3,173.92
  4. Step 4: Simplify right side
    10,569.40x = 50,319,645.07
  5. Step 5: Solve for x
    x = 50,319,645.07/10,569.40
  6. Step 6: Final answer
    x = 4,760.88

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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.