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Finding the Fourth Proportional to 7,489.56, 11,234.34 and 2,294.76

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Solution

The fourth proportional to 7,489.56, 11,234.34 and 2,294.76 is: 3,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.56 : 11,234.34 = 2,294.76 : x
  2. Step 2: Convert to fraction form
    7,489.56/11,234.34 = 2,294.76/x
  3. Step 3: Cross multiply
    7,489.56x = 11,234.34 × 2,294.76
  4. Step 4: Simplify right side
    7,489.56x = 25,780,114.06
  5. Step 5: Solve for x
    x = 25,780,114.06/7,489.56
  6. Step 6: Final answer
    x = 3,442.14

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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.