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Finding the Fourth Proportional to 8,282.16, 11,445.72 and 6,787.68

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Solution

The fourth proportional to 8,282.16, 11,445.72 and 6,787.68 is: 9,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.16 : 11,445.72 = 6,787.68 : x
  2. Step 2: Convert to fraction form
    8,282.16/11,445.72 = 6,787.68/x
  3. Step 3: Cross multiply
    8,282.16x = 11,445.72 × 6,787.68
  4. Step 4: Simplify right side
    8,282.16x = 77,689,884.73
  5. Step 5: Solve for x
    x = 77,689,884.73/8,282.16
  6. Step 6: Final answer
    x = 9,380.39

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Why These Related Problems?

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