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Finding the Fourth Proportional to 8,001.63, 12,002.31 and 3,616.02

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Solution

The fourth proportional to 8,001.63, 12,002.31 and 3,616.02 is: 5,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.63 : 12,002.31 = 3,616.02 : x
  2. Step 2: Convert to fraction form
    8,001.63/12,002.31 = 3,616.02/x
  3. Step 3: Cross multiply
    8,001.63x = 12,002.31 × 3,616.02
  4. Step 4: Simplify right side
    8,001.63x = 43,400,593.01
  5. Step 5: Solve for x
    x = 43,400,593.01/8,001.63
  6. Step 6: Final answer
    x = 5,423.97

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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.