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Finding the Fourth Proportional to 7,489.96, 11,234.94 and 2,557.12

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Solution

The fourth proportional to 7,489.96, 11,234.94 and 2,557.12 is: 3,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.96 : 11,234.94 = 2,557.12 : x
  2. Step 2: Convert to fraction form
    7,489.96/11,234.94 = 2,557.12/x
  3. Step 3: Cross multiply
    7,489.96x = 11,234.94 × 2,557.12
  4. Step 4: Simplify right side
    7,489.96x = 28,729,089.77
  5. Step 5: Solve for x
    x = 28,729,089.77/7,489.96
  6. Step 6: Final answer
    x = 3,835.68

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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.