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Finding the Fourth Proportional to 10,098.41, 13,930.92 and 6,512.42

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Solution

The fourth proportional to 10,098.41, 13,930.92 and 6,512.42 is: 8,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.41 : 13,930.92 = 6,512.42 : x
  2. Step 2: Convert to fraction form
    10,098.41/13,930.92 = 6,512.42/x
  3. Step 3: Cross multiply
    10,098.41x = 13,930.92 × 6,512.42
  4. Step 4: Simplify right side
    10,098.41x = 90,724,002.03
  5. Step 5: Solve for x
    x = 90,724,002.03/10,098.41
  6. Step 6: Final answer
    x = 8,983.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.