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Finding the Fourth Proportional to 10,162.47, 15,251.92 and 5,233.52

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Solution

The fourth proportional to 10,162.47, 15,251.92 and 5,233.52 is: 7,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.47 : 15,251.92 = 5,233.52 : x
  2. Step 2: Convert to fraction form
    10,162.47/15,251.92 = 5,233.52/x
  3. Step 3: Cross multiply
    10,162.47x = 15,251.92 × 5,233.52
  4. Step 4: Simplify right side
    10,162.47x = 79,821,253.40
  5. Step 5: Solve for x
    x = 79,821,253.40/10,162.47
  6. Step 6: Final answer
    x = 7,854.51

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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.