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Finding the Fourth Proportional to 7,984.32, 11,017.20 and 4,447.44

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Solution

The fourth proportional to 7,984.32, 11,017.20 and 4,447.44 is: 6,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.32 : 11,017.20 = 4,447.44 : x
  2. Step 2: Convert to fraction form
    7,984.32/11,017.20 = 4,447.44/x
  3. Step 3: Cross multiply
    7,984.32x = 11,017.20 × 4,447.44
  4. Step 4: Simplify right side
    7,984.32x = 48,998,335.97
  5. Step 5: Solve for x
    x = 48,998,335.97/7,984.32
  6. Step 6: Final answer
    x = 6,136.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.