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Finding the Fourth Proportional to 6,753.92, 10,112 and 5,105.28

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Solution

The fourth proportional to 6,753.92, 10,112 and 5,105.28 is: 7,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.92 : 10,112 = 5,105.28 : x
  2. Step 2: Convert to fraction form
    6,753.92/10,112 = 5,105.28/x
  3. Step 3: Cross multiply
    6,753.92x = 10,112 × 5,105.28
  4. Step 4: Simplify right side
    6,753.92x = 51,624,591.36
  5. Step 5: Solve for x
    x = 51,624,591.36/6,753.92
  6. Step 6: Final answer
    x = 7,643.65

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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.