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Finding the Fourth Proportional to 7,694.70, 11,529.39 and 3,248.71

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Solution

The fourth proportional to 7,694.70, 11,529.39 and 3,248.71 is: 4,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.70 : 11,529.39 = 3,248.71 : x
  2. Step 2: Convert to fraction form
    7,694.70/11,529.39 = 3,248.71/x
  3. Step 3: Cross multiply
    7,694.70x = 11,529.39 × 3,248.71
  4. Step 4: Simplify right side
    7,694.70x = 37,455,609.67
  5. Step 5: Solve for x
    x = 37,455,609.67/7,694.70
  6. Step 6: Final answer
    x = 4,867.72

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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.