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Finding the Fourth Proportional to 8,045.28, 12,040.92 and 7,738.56

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Solution

The fourth proportional to 8,045.28, 12,040.92 and 7,738.56 is: 11,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.28 : 12,040.92 = 7,738.56 : x
  2. Step 2: Convert to fraction form
    8,045.28/12,040.92 = 7,738.56/x
  3. Step 3: Cross multiply
    8,045.28x = 12,040.92 × 7,738.56
  4. Step 4: Simplify right side
    8,045.28x = 93,179,381.88
  5. Step 5: Solve for x
    x = 93,179,381.88/8,045.28
  6. Step 6: Final answer
    x = 11,581.87

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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.