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Finding the Fourth Proportional to 8,387.78, 12,583.22 and 2,765.78

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Solution

The fourth proportional to 8,387.78, 12,583.22 and 2,765.78 is: 4,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.78 : 12,583.22 = 2,765.78 : x
  2. Step 2: Convert to fraction form
    8,387.78/12,583.22 = 2,765.78/x
  3. Step 3: Cross multiply
    8,387.78x = 12,583.22 × 2,765.78
  4. Step 4: Simplify right side
    8,387.78x = 34,802,341.47
  5. Step 5: Solve for x
    x = 34,802,341.47/8,387.78
  6. Step 6: Final answer
    x = 4,149.17

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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.