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Finding the Fourth Proportional to 10,083.42, 15,127.02 and 8,251.20

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Solution

The fourth proportional to 10,083.42, 15,127.02 and 8,251.20 is: 12,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.42 : 15,127.02 = 8,251.20 : x
  2. Step 2: Convert to fraction form
    10,083.42/15,127.02 = 8,251.20/x
  3. Step 3: Cross multiply
    10,083.42x = 15,127.02 × 8,251.20
  4. Step 4: Simplify right side
    10,083.42x = 124,816,067.42
  5. Step 5: Solve for x
    x = 124,816,067.42/10,083.42
  6. Step 6: Final answer
    x = 12,378.35

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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.