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Finding the Fourth Proportional to 10,863.52, 16,313.12 and 10,309.48

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Solution

The fourth proportional to 10,863.52, 16,313.12 and 10,309.48 is: 15,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.52 : 16,313.12 = 10,309.48 : x
  2. Step 2: Convert to fraction form
    10,863.52/16,313.12 = 10,309.48/x
  3. Step 3: Cross multiply
    10,863.52x = 16,313.12 × 10,309.48
  4. Step 4: Simplify right side
    10,863.52x = 168,179,784.38
  5. Step 5: Solve for x
    x = 168,179,784.38/10,863.52
  6. Step 6: Final answer
    x = 15,481.15

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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.