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Finding the Fourth Proportional to 7,759.09, 11,617.97 and 5,298.71

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Solution

The fourth proportional to 7,759.09, 11,617.97 and 5,298.71 is: 7,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.09 : 11,617.97 = 5,298.71 : x
  2. Step 2: Convert to fraction form
    7,759.09/11,617.97 = 5,298.71/x
  3. Step 3: Cross multiply
    7,759.09x = 11,617.97 × 5,298.71
  4. Step 4: Simplify right side
    7,759.09x = 61,560,253.82
  5. Step 5: Solve for x
    x = 61,560,253.82/7,759.09
  6. Step 6: Final answer
    x = 7,933.96

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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.