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Finding the Fourth Proportional to 8,002.82, 12,001.03 and 3,319.65

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Solution

The fourth proportional to 8,002.82, 12,001.03 and 3,319.65 is: 4,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.82 : 12,001.03 = 3,319.65 : x
  2. Step 2: Convert to fraction form
    8,002.82/12,001.03 = 3,319.65/x
  3. Step 3: Cross multiply
    8,002.82x = 12,001.03 × 3,319.65
  4. Step 4: Simplify right side
    8,002.82x = 39,839,210.94
  5. Step 5: Solve for x
    x = 39,839,210.94/8,002.82
  6. Step 6: Final answer
    x = 4,978.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.