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Finding the Fourth Proportional to 7,242.48, 10,861.98 and 3,343.14

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Solution

The fourth proportional to 7,242.48, 10,861.98 and 3,343.14 is: 5,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.48 : 10,861.98 = 3,343.14 : x
  2. Step 2: Convert to fraction form
    7,242.48/10,861.98 = 3,343.14/x
  3. Step 3: Cross multiply
    7,242.48x = 10,861.98 × 3,343.14
  4. Step 4: Simplify right side
    7,242.48x = 36,313,119.82
  5. Step 5: Solve for x
    x = 36,313,119.82/7,242.48
  6. Step 6: Final answer
    x = 5,013.91

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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.