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Finding the Fourth Proportional to 12,086.72, 18,098.96 and 7,160

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Solution

The fourth proportional to 12,086.72, 18,098.96 and 7,160 is: 10,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.72 : 18,098.96 = 7,160 : x
  2. Step 2: Convert to fraction form
    12,086.72/18,098.96 = 7,160/x
  3. Step 3: Cross multiply
    12,086.72x = 18,098.96 × 7,160
  4. Step 4: Simplify right side
    12,086.72x = 129,588,553.60
  5. Step 5: Solve for x
    x = 129,588,553.60/12,086.72
  6. Step 6: Final answer
    x = 10,721.56

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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.