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Finding the Fourth Proportional to 8,377.86, 12,566.70 and 2,052.82

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Solution

The fourth proportional to 8,377.86, 12,566.70 and 2,052.82 is: 3,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.86 : 12,566.70 = 2,052.82 : x
  2. Step 2: Convert to fraction form
    8,377.86/12,566.70 = 2,052.82/x
  3. Step 3: Cross multiply
    8,377.86x = 12,566.70 × 2,052.82
  4. Step 4: Simplify right side
    8,377.86x = 25,797,173.09
  5. Step 5: Solve for x
    x = 25,797,173.09/8,377.86
  6. Step 6: Final answer
    x = 3,079.21

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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.