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Finding the Fourth Proportional to 8,442.57, 12,650.02 and 2,892.92

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Solution

The fourth proportional to 8,442.57, 12,650.02 and 2,892.92 is: 4,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.57 : 12,650.02 = 2,892.92 : x
  2. Step 2: Convert to fraction form
    8,442.57/12,650.02 = 2,892.92/x
  3. Step 3: Cross multiply
    8,442.57x = 12,650.02 × 2,892.92
  4. Step 4: Simplify right side
    8,442.57x = 36,595,520.25
  5. Step 5: Solve for x
    x = 36,595,520.25/8,442.57
  6. Step 6: Final answer
    x = 4,334.64

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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.