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Finding the Fourth Proportional to 10,049.92, 13,869.36 and 6,275.32

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Solution

The fourth proportional to 10,049.92, 13,869.36 and 6,275.32 is: 8,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.92 : 13,869.36 = 6,275.32 : x
  2. Step 2: Convert to fraction form
    10,049.92/13,869.36 = 6,275.32/x
  3. Step 3: Cross multiply
    10,049.92x = 13,869.36 × 6,275.32
  4. Step 4: Simplify right side
    10,049.92x = 87,034,672.20
  5. Step 5: Solve for x
    x = 87,034,672.20/10,049.92
  6. Step 6: Final answer
    x = 8,660.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.