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Finding the Fourth Proportional to 8,371.70, 12,559.19 and 2,528.66

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Solution

The fourth proportional to 8,371.70, 12,559.19 and 2,528.66 is: 3,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.70 : 12,559.19 = 2,528.66 : x
  2. Step 2: Convert to fraction form
    8,371.70/12,559.19 = 2,528.66/x
  3. Step 3: Cross multiply
    8,371.70x = 12,559.19 × 2,528.66
  4. Step 4: Simplify right side
    8,371.70x = 31,757,864.91
  5. Step 5: Solve for x
    x = 31,757,864.91/8,371.70
  6. Step 6: Final answer
    x = 3,793.48

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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.