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Finding the Fourth Proportional to 7,648.41, 11,472.19 and 2,453.88

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Solution

The fourth proportional to 7,648.41, 11,472.19 and 2,453.88 is: 3,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.41 : 11,472.19 = 2,453.88 : x
  2. Step 2: Convert to fraction form
    7,648.41/11,472.19 = 2,453.88/x
  3. Step 3: Cross multiply
    7,648.41x = 11,472.19 × 2,453.88
  4. Step 4: Simplify right side
    7,648.41x = 28,151,377.60
  5. Step 5: Solve for x
    x = 28,151,377.60/7,648.41
  6. Step 6: Final answer
    x = 3,680.68

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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.