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Finding the Fourth Proportional to 7,759.38, 11,639.51 and 2,212.30

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Solution

The fourth proportional to 7,759.38, 11,639.51 and 2,212.30 is: 3,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.38 : 11,639.51 = 2,212.30 : x
  2. Step 2: Convert to fraction form
    7,759.38/11,639.51 = 2,212.30/x
  3. Step 3: Cross multiply
    7,759.38x = 11,639.51 × 2,212.30
  4. Step 4: Simplify right side
    7,759.38x = 25,750,064.40
  5. Step 5: Solve for x
    x = 25,750,064.40/7,759.38
  6. Step 6: Final answer
    x = 3,318.57

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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.