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Finding the Fourth Proportional to 8,242, 12,331.98 and 5,781.64

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Solution

The fourth proportional to 8,242, 12,331.98 and 5,781.64 is: 8,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 12,331.98 = 5,781.64 : x
  2. Step 2: Convert to fraction form
    8,242/12,331.98 = 5,781.64/x
  3. Step 3: Cross multiply
    8,242x = 12,331.98 × 5,781.64
  4. Step 4: Simplify right side
    8,242x = 71,299,068.85
  5. Step 5: Solve for x
    x = 71,299,068.85/8,242
  6. Step 6: Final answer
    x = 8,650.70

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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.