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Finding the Fourth Proportional to 10,295.28, 15,442.92 and 5,707.44

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Solution

The fourth proportional to 10,295.28, 15,442.92 and 5,707.44 is: 8,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.28 : 15,442.92 = 5,707.44 : x
  2. Step 2: Convert to fraction form
    10,295.28/15,442.92 = 5,707.44/x
  3. Step 3: Cross multiply
    10,295.28x = 15,442.92 × 5,707.44
  4. Step 4: Simplify right side
    10,295.28x = 88,139,539.32
  5. Step 5: Solve for x
    x = 88,139,539.32/10,295.28
  6. Step 6: Final answer
    x = 8,561.16

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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.