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Finding the Fourth Proportional to 6,754.40, 10,119.12 and 5,665.76

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Solution

The fourth proportional to 6,754.40, 10,119.12 and 5,665.76 is: 8,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.40 : 10,119.12 = 5,665.76 : x
  2. Step 2: Convert to fraction form
    6,754.40/10,119.12 = 5,665.76/x
  3. Step 3: Cross multiply
    6,754.40x = 10,119.12 × 5,665.76
  4. Step 4: Simplify right side
    6,754.40x = 57,332,505.33
  5. Step 5: Solve for x
    x = 57,332,505.33/6,754.40
  6. Step 6: Final answer
    x = 8,488.17

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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.