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Finding the Fourth Proportional to 8,385.75, 12,578.24 and 2,462.40

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Solution

The fourth proportional to 8,385.75, 12,578.24 and 2,462.40 is: 3,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.75 : 12,578.24 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    8,385.75/12,578.24 = 2,462.40/x
  3. Step 3: Cross multiply
    8,385.75x = 12,578.24 × 2,462.40
  4. Step 4: Simplify right side
    8,385.75x = 30,972,645.86
  5. Step 5: Solve for x
    x = 30,972,645.86/8,385.75
  6. Step 6: Final answer
    x = 3,693.49

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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.