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Finding the Fourth Proportional to 8,414.46, 11,616.12 and 6,521.76

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Solution

The fourth proportional to 8,414.46, 11,616.12 and 6,521.76 is: 9,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.46 : 11,616.12 = 6,521.76 : x
  2. Step 2: Convert to fraction form
    8,414.46/11,616.12 = 6,521.76/x
  3. Step 3: Cross multiply
    8,414.46x = 11,616.12 × 6,521.76
  4. Step 4: Simplify right side
    8,414.46x = 75,757,546.77
  5. Step 5: Solve for x
    x = 75,757,546.77/8,414.46
  6. Step 6: Final answer
    x = 9,003.26

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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.