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Finding the Fourth Proportional to 7,499.25, 11,253.78 and 2,882.25

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Solution

The fourth proportional to 7,499.25, 11,253.78 and 2,882.25 is: 4,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.25 : 11,253.78 = 2,882.25 : x
  2. Step 2: Convert to fraction form
    7,499.25/11,253.78 = 2,882.25/x
  3. Step 3: Cross multiply
    7,499.25x = 11,253.78 × 2,882.25
  4. Step 4: Simplify right side
    7,499.25x = 32,436,207.41
  5. Step 5: Solve for x
    x = 32,436,207.41/7,499.25
  6. Step 6: Final answer
    x = 4,325.26

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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.