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Finding the Fourth Proportional to 7,536.53, 11,288.84 and 4,761.78

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Solution

The fourth proportional to 7,536.53, 11,288.84 and 4,761.78 is: 7,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.53 : 11,288.84 = 4,761.78 : x
  2. Step 2: Convert to fraction form
    7,536.53/11,288.84 = 4,761.78/x
  3. Step 3: Cross multiply
    7,536.53x = 11,288.84 × 4,761.78
  4. Step 4: Simplify right side
    7,536.53x = 53,754,948.73
  5. Step 5: Solve for x
    x = 53,754,948.73/7,536.53
  6. Step 6: Final answer
    x = 7,132.59

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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.