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Finding the Fourth Proportional to 7,994.31, 11,989.80 and 2,149.53

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Solution

The fourth proportional to 7,994.31, 11,989.80 and 2,149.53 is: 3,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.31 : 11,989.80 = 2,149.53 : x
  2. Step 2: Convert to fraction form
    7,994.31/11,989.80 = 2,149.53/x
  3. Step 3: Cross multiply
    7,994.31x = 11,989.80 × 2,149.53
  4. Step 4: Simplify right side
    7,994.31x = 25,772,434.79
  5. Step 5: Solve for x
    x = 25,772,434.79/7,994.31
  6. Step 6: Final answer
    x = 3,223.85

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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.