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Finding the Fourth Proportional to 8,288, 12,436.88 and 3,671.04

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Solution

The fourth proportional to 8,288, 12,436.88 and 3,671.04 is: 5,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288 : 12,436.88 = 3,671.04 : x
  2. Step 2: Convert to fraction form
    8,288/12,436.88 = 3,671.04/x
  3. Step 3: Cross multiply
    8,288x = 12,436.88 × 3,671.04
  4. Step 4: Simplify right side
    8,288x = 45,656,283.96
  5. Step 5: Solve for x
    x = 45,656,283.96/8,288
  6. Step 6: Final answer
    x = 5,508.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.