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Finding the Fourth Proportional to 7,608.39, 11,414.76 and 4,491.24

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Solution

The fourth proportional to 7,608.39, 11,414.76 and 4,491.24 is: 6,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.39 : 11,414.76 = 4,491.24 : x
  2. Step 2: Convert to fraction form
    7,608.39/11,414.76 = 4,491.24/x
  3. Step 3: Cross multiply
    7,608.39x = 11,414.76 × 4,491.24
  4. Step 4: Simplify right side
    7,608.39x = 51,266,426.70
  5. Step 5: Solve for x
    x = 51,266,426.70/7,608.39
  6. Step 6: Final answer
    x = 6,738.14

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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.