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Finding the Fourth Proportional to 7,759.48, 11,638.24 and 2,494.08

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Solution

The fourth proportional to 7,759.48, 11,638.24 and 2,494.08 is: 3,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.48 : 11,638.24 = 2,494.08 : x
  2. Step 2: Convert to fraction form
    7,759.48/11,638.24 = 2,494.08/x
  3. Step 3: Cross multiply
    7,759.48x = 11,638.24 × 2,494.08
  4. Step 4: Simplify right side
    7,759.48x = 29,026,701.62
  5. Step 5: Solve for x
    x = 29,026,701.62/7,759.48
  6. Step 6: Final answer
    x = 3,740.81

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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.