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Finding the Fourth Proportional to 10,373.06, 15,565.97 and 5,446.24

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Solution

The fourth proportional to 10,373.06, 15,565.97 and 5,446.24 is: 8,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.06 : 15,565.97 = 5,446.24 : x
  2. Step 2: Convert to fraction form
    10,373.06/15,565.97 = 5,446.24/x
  3. Step 3: Cross multiply
    10,373.06x = 15,565.97 × 5,446.24
  4. Step 4: Simplify right side
    10,373.06x = 84,775,983.15
  5. Step 5: Solve for x
    x = 84,775,983.15/10,373.06
  6. Step 6: Final answer
    x = 8,172.71

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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.