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Finding the Fourth Proportional to 7,489.32, 11,236.86 and 2,871.24

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Solution

The fourth proportional to 7,489.32, 11,236.86 and 2,871.24 is: 4,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.32 : 11,236.86 = 2,871.24 : x
  2. Step 2: Convert to fraction form
    7,489.32/11,236.86 = 2,871.24/x
  3. Step 3: Cross multiply
    7,489.32x = 11,236.86 × 2,871.24
  4. Step 4: Simplify right side
    7,489.32x = 32,263,721.91
  5. Step 5: Solve for x
    x = 32,263,721.91/7,489.32
  6. Step 6: Final answer
    x = 4,307.96

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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.