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Finding the Fourth Proportional to 8,001.69, 12,002.99 and 2,158.75

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Solution

The fourth proportional to 8,001.69, 12,002.99 and 2,158.75 is: 3,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.69 : 12,002.99 = 2,158.75 : x
  2. Step 2: Convert to fraction form
    8,001.69/12,002.99 = 2,158.75/x
  3. Step 3: Cross multiply
    8,001.69x = 12,002.99 × 2,158.75
  4. Step 4: Simplify right side
    8,001.69x = 25,911,458.87
  5. Step 5: Solve for x
    x = 25,911,458.87/8,001.69
  6. Step 6: Final answer
    x = 3,238.25

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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.