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Finding the Fourth Proportional to 10,082.24, 15,126.24 and 7,311.68

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Solution

The fourth proportional to 10,082.24, 15,126.24 and 7,311.68 is: 10,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.24 : 15,126.24 = 7,311.68 : x
  2. Step 2: Convert to fraction form
    10,082.24/15,126.24 = 7,311.68/x
  3. Step 3: Cross multiply
    10,082.24x = 15,126.24 × 7,311.68
  4. Step 4: Simplify right side
    10,082.24x = 110,598,226.48
  5. Step 5: Solve for x
    x = 110,598,226.48/10,082.24
  6. Step 6: Final answer
    x = 10,969.61

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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.