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Finding the Fourth Proportional to 10,371.98, 15,557.93 and 8,282.19

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Solution

The fourth proportional to 10,371.98, 15,557.93 and 8,282.19 is: 12,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.98 : 15,557.93 = 8,282.19 : x
  2. Step 2: Convert to fraction form
    10,371.98/15,557.93 = 8,282.19/x
  3. Step 3: Cross multiply
    10,371.98x = 15,557.93 × 8,282.19
  4. Step 4: Simplify right side
    10,371.98x = 128,853,732.27
  5. Step 5: Solve for x
    x = 128,853,732.27/10,371.98
  6. Step 6: Final answer
    x = 12,423.26

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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.