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Finding the Fourth Proportional to 10,451.52, 15,682.14 and 5,251.32

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Solution

The fourth proportional to 10,451.52, 15,682.14 and 5,251.32 is: 7,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.52 : 15,682.14 = 5,251.32 : x
  2. Step 2: Convert to fraction form
    10,451.52/15,682.14 = 5,251.32/x
  3. Step 3: Cross multiply
    10,451.52x = 15,682.14 × 5,251.32
  4. Step 4: Simplify right side
    10,451.52x = 82,351,935.42
  5. Step 5: Solve for x
    x = 82,351,935.42/10,451.52
  6. Step 6: Final answer
    x = 7,879.42

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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.