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Finding the Fourth Proportional to 7,499.25, 11,248.88 and 2,882.25

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Solution

The fourth proportional to 7,499.25, 11,248.88 and 2,882.25 is: 4,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.25 : 11,248.88 = 2,882.25 : x
  2. Step 2: Convert to fraction form
    7,499.25/11,248.88 = 2,882.25/x
  3. Step 3: Cross multiply
    7,499.25x = 11,248.88 × 2,882.25
  4. Step 4: Simplify right side
    7,499.25x = 32,422,069.97
  5. Step 5: Solve for x
    x = 32,422,069.97/7,499.25
  6. Step 6: Final answer
    x = 4,323.38

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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.