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Finding the Fourth Proportional to 8,002.72, 12,004.30 and 2,159.31

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Solution

The fourth proportional to 8,002.72, 12,004.30 and 2,159.31 is: 3,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.72 : 12,004.30 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    8,002.72/12,004.30 = 2,159.31/x
  3. Step 3: Cross multiply
    8,002.72x = 12,004.30 × 2,159.31
  4. Step 4: Simplify right side
    8,002.72x = 25,921,005.03
  5. Step 5: Solve for x
    x = 25,921,005.03/8,002.72
  6. Step 6: Final answer
    x = 3,239.02

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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.