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Finding the Fourth Proportional to 10,442.04, 15,651.72 and 3,862.68

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Solution

The fourth proportional to 10,442.04, 15,651.72 and 3,862.68 is: 5,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.04 : 15,651.72 = 3,862.68 : x
  2. Step 2: Convert to fraction form
    10,442.04/15,651.72 = 3,862.68/x
  3. Step 3: Cross multiply
    10,442.04x = 15,651.72 × 3,862.68
  4. Step 4: Simplify right side
    10,442.04x = 60,457,585.81
  5. Step 5: Solve for x
    x = 60,457,585.81/10,442.04
  6. Step 6: Final answer
    x = 5,789.83

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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.