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Finding the Fourth Proportional to 7,759.30, 11,640.03 and 2,494.47

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Solution

The fourth proportional to 7,759.30, 11,640.03 and 2,494.47 is: 3,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.30 : 11,640.03 = 2,494.47 : x
  2. Step 2: Convert to fraction form
    7,759.30/11,640.03 = 2,494.47/x
  3. Step 3: Cross multiply
    7,759.30x = 11,640.03 × 2,494.47
  4. Step 4: Simplify right side
    7,759.30x = 29,035,693.16
  5. Step 5: Solve for x
    x = 29,035,693.16/7,759.30
  6. Step 6: Final answer
    x = 3,742.05

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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.