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Finding the Fourth Proportional to 8,877.12, 13,318.82 and 3,946.32

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Solution

The fourth proportional to 8,877.12, 13,318.82 and 3,946.32 is: 5,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.12 : 13,318.82 = 3,946.32 : x
  2. Step 2: Convert to fraction form
    8,877.12/13,318.82 = 3,946.32/x
  3. Step 3: Cross multiply
    8,877.12x = 13,318.82 × 3,946.32
  4. Step 4: Simplify right side
    8,877.12x = 52,560,325.74
  5. Step 5: Solve for x
    x = 52,560,325.74/8,877.12
  6. Step 6: Final answer
    x = 5,920.88

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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.