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Finding the Fourth Proportional to 10,896.57, 16,337.82 and 4,660.65

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Solution

The fourth proportional to 10,896.57, 16,337.82 and 4,660.65 is: 6,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.57 : 16,337.82 = 4,660.65 : x
  2. Step 2: Convert to fraction form
    10,896.57/16,337.82 = 4,660.65/x
  3. Step 3: Cross multiply
    10,896.57x = 16,337.82 × 4,660.65
  4. Step 4: Simplify right side
    10,896.57x = 76,144,860.78
  5. Step 5: Solve for x
    x = 76,144,860.78/10,896.57
  6. Step 6: Final answer
    x = 6,987.97

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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.