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Finding the Fourth Proportional to 8,002.88, 12,000.48 and 3,782.62

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Solution

The fourth proportional to 8,002.88, 12,000.48 and 3,782.62 is: 5,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.88 : 12,000.48 = 3,782.62 : x
  2. Step 2: Convert to fraction form
    8,002.88/12,000.48 = 3,782.62/x
  3. Step 3: Cross multiply
    8,002.88x = 12,000.48 × 3,782.62
  4. Step 4: Simplify right side
    8,002.88x = 45,393,176.74
  5. Step 5: Solve for x
    x = 45,393,176.74/8,002.88
  6. Step 6: Final answer
    x = 5,672.11

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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.