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Finding the Fourth Proportional to 8,247.92, 11,376.42 and 5,102.24

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Solution

The fourth proportional to 8,247.92, 11,376.42 and 5,102.24 is: 7,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.92 : 11,376.42 = 5,102.24 : x
  2. Step 2: Convert to fraction form
    8,247.92/11,376.42 = 5,102.24/x
  3. Step 3: Cross multiply
    8,247.92x = 11,376.42 × 5,102.24
  4. Step 4: Simplify right side
    8,247.92x = 58,045,225.18
  5. Step 5: Solve for x
    x = 58,045,225.18/8,247.92
  6. Step 6: Final answer
    x = 7,037.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.