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Finding the Fourth Proportional to 8,002.15, 12,003.54 and 2,158.91

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Solution

The fourth proportional to 8,002.15, 12,003.54 and 2,158.91 is: 3,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.15 : 12,003.54 = 2,158.91 : x
  2. Step 2: Convert to fraction form
    8,002.15/12,003.54 = 2,158.91/x
  3. Step 3: Cross multiply
    8,002.15x = 12,003.54 × 2,158.91
  4. Step 4: Simplify right side
    8,002.15x = 25,914,562.54
  5. Step 5: Solve for x
    x = 25,914,562.54/8,002.15
  6. Step 6: Final answer
    x = 3,238.45

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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.