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Finding the Fourth Proportional to 8,175.52, 12,265.10 and 2,981.40

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Solution

The fourth proportional to 8,175.52, 12,265.10 and 2,981.40 is: 4,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.52 : 12,265.10 = 2,981.40 : x
  2. Step 2: Convert to fraction form
    8,175.52/12,265.10 = 2,981.40/x
  3. Step 3: Cross multiply
    8,175.52x = 12,265.10 × 2,981.40
  4. Step 4: Simplify right side
    8,175.52x = 36,567,119.42
  5. Step 5: Solve for x
    x = 36,567,119.42/8,175.52
  6. Step 6: Final answer
    x = 4,472.76

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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.