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Finding the Fourth Proportional to 8,003.25, 12,003.42 and 2,158.49

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Solution

The fourth proportional to 8,003.25, 12,003.42 and 2,158.49 is: 3,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.25 : 12,003.42 = 2,158.49 : x
  2. Step 2: Convert to fraction form
    8,003.25/12,003.42 = 2,158.49/x
  3. Step 3: Cross multiply
    8,003.25x = 12,003.42 × 2,158.49
  4. Step 4: Simplify right side
    8,003.25x = 25,909,262.04
  5. Step 5: Solve for x
    x = 25,909,262.04/8,003.25
  6. Step 6: Final answer
    x = 3,237.34

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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.