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Finding the Fourth Proportional to 7,487.46, 11,231.19 and 6,186.20

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Solution

The fourth proportional to 7,487.46, 11,231.19 and 6,186.20 is: 9,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.46 : 11,231.19 = 6,186.20 : x
  2. Step 2: Convert to fraction form
    7,487.46/11,231.19 = 6,186.20/x
  3. Step 3: Cross multiply
    7,487.46x = 11,231.19 × 6,186.20
  4. Step 4: Simplify right side
    7,487.46x = 69,478,331.42
  5. Step 5: Solve for x
    x = 69,478,331.42/7,487.46
  6. Step 6: Final answer
    x = 9,279.29

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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.