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Finding the Fourth Proportional to 7,732.70, 11,600.18 and 2,801.18

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Solution

The fourth proportional to 7,732.70, 11,600.18 and 2,801.18 is: 4,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.70 : 11,600.18 = 2,801.18 : x
  2. Step 2: Convert to fraction form
    7,732.70/11,600.18 = 2,801.18/x
  3. Step 3: Cross multiply
    7,732.70x = 11,600.18 × 2,801.18
  4. Step 4: Simplify right side
    7,732.70x = 32,494,120.21
  5. Step 5: Solve for x
    x = 32,494,120.21/7,732.70
  6. Step 6: Final answer
    x = 4,202.17

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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.