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Finding the Fourth Proportional to 7,694.76, 11,544.30 and 2,502.12

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Solution

The fourth proportional to 7,694.76, 11,544.30 and 2,502.12 is: 3,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.76 : 11,544.30 = 2,502.12 : x
  2. Step 2: Convert to fraction form
    7,694.76/11,544.30 = 2,502.12/x
  3. Step 3: Cross multiply
    7,694.76x = 11,544.30 × 2,502.12
  4. Step 4: Simplify right side
    7,694.76x = 28,885,223.92
  5. Step 5: Solve for x
    x = 28,885,223.92/7,694.76
  6. Step 6: Final answer
    x = 3,753.88

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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.