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Finding the Fourth Proportional to 8,295.78, 12,437.49 and 3,614.90

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Solution

The fourth proportional to 8,295.78, 12,437.49 and 3,614.90 is: 5,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.78 : 12,437.49 = 3,614.90 : x
  2. Step 2: Convert to fraction form
    8,295.78/12,437.49 = 3,614.90/x
  3. Step 3: Cross multiply
    8,295.78x = 12,437.49 × 3,614.90
  4. Step 4: Simplify right side
    8,295.78x = 44,960,282.60
  5. Step 5: Solve for x
    x = 44,960,282.60/8,295.78
  6. Step 6: Final answer
    x = 5,419.66

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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.