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Finding the Fourth Proportional to 10,079.34, 13,906.17 and 6,098.94

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Solution

The fourth proportional to 10,079.34, 13,906.17 and 6,098.94 is: 8,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.34 : 13,906.17 = 6,098.94 : x
  2. Step 2: Convert to fraction form
    10,079.34/13,906.17 = 6,098.94/x
  3. Step 3: Cross multiply
    10,079.34x = 13,906.17 × 6,098.94
  4. Step 4: Simplify right side
    10,079.34x = 84,812,896.46
  5. Step 5: Solve for x
    x = 84,812,896.46/10,079.34
  6. Step 6: Final answer
    x = 8,414.53

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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.