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Finding the Fourth Proportional to 10,614.47, 15,921.73 and 2,823.28

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Solution

The fourth proportional to 10,614.47, 15,921.73 and 2,823.28 is: 4,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.47 : 15,921.73 = 2,823.28 : x
  2. Step 2: Convert to fraction form
    10,614.47/15,921.73 = 2,823.28/x
  3. Step 3: Cross multiply
    10,614.47x = 15,921.73 × 2,823.28
  4. Step 4: Simplify right side
    10,614.47x = 44,951,555.16
  5. Step 5: Solve for x
    x = 44,951,555.16/10,614.47
  6. Step 6: Final answer
    x = 4,234.93

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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.