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Finding the Fourth Proportional to 8,002.99, 12,001.45 and 3,841.82

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Solution

The fourth proportional to 8,002.99, 12,001.45 and 3,841.82 is: 5,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.99 : 12,001.45 = 3,841.82 : x
  2. Step 2: Convert to fraction form
    8,002.99/12,001.45 = 3,841.82/x
  3. Step 3: Cross multiply
    8,002.99x = 12,001.45 × 3,841.82
  4. Step 4: Simplify right side
    8,002.99x = 46,107,391.43
  5. Step 5: Solve for x
    x = 46,107,391.43/8,002.99
  6. Step 6: Final answer
    x = 5,761.27

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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.