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Finding the Fourth Proportional to 10,600.18, 15,902.87 and 7,486.27

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Solution

The fourth proportional to 10,600.18, 15,902.87 and 7,486.27 is: 11,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.18 : 15,902.87 = 7,486.27 : x
  2. Step 2: Convert to fraction form
    10,600.18/15,902.87 = 7,486.27/x
  3. Step 3: Cross multiply
    10,600.18x = 15,902.87 × 7,486.27
  4. Step 4: Simplify right side
    10,600.18x = 119,053,190.86
  5. Step 5: Solve for x
    x = 119,053,190.86/10,600.18
  6. Step 6: Final answer
    x = 11,231.24

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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.