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Finding the Fourth Proportional to 10,586.99, 15,882.77 and 4,013.23

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Solution

The fourth proportional to 10,586.99, 15,882.77 and 4,013.23 is: 6,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.99 : 15,882.77 = 4,013.23 : x
  2. Step 2: Convert to fraction form
    10,586.99/15,882.77 = 4,013.23/x
  3. Step 3: Cross multiply
    10,586.99x = 15,882.77 × 4,013.23
  4. Step 4: Simplify right side
    10,586.99x = 63,741,209.05
  5. Step 5: Solve for x
    x = 63,741,209.05/10,586.99
  6. Step 6: Final answer
    x = 6,020.71

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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.