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Finding the Fourth Proportional to 10,530.28, 15,772.38 and 7,442.92

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Solution

The fourth proportional to 10,530.28, 15,772.38 and 7,442.92 is: 11,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.28 : 15,772.38 = 7,442.92 : x
  2. Step 2: Convert to fraction form
    10,530.28/15,772.38 = 7,442.92/x
  3. Step 3: Cross multiply
    10,530.28x = 15,772.38 × 7,442.92
  4. Step 4: Simplify right side
    10,530.28x = 117,392,562.55
  5. Step 5: Solve for x
    x = 117,392,562.55/10,530.28
  6. Step 6: Final answer
    x = 11,148.10

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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.