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Finding the Fourth Proportional to 10,439.65, 15,660.20 and 4,199.69

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Solution

The fourth proportional to 10,439.65, 15,660.20 and 4,199.69 is: 6,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.65 : 15,660.20 = 4,199.69 : x
  2. Step 2: Convert to fraction form
    10,439.65/15,660.20 = 4,199.69/x
  3. Step 3: Cross multiply
    10,439.65x = 15,660.20 × 4,199.69
  4. Step 4: Simplify right side
    10,439.65x = 65,768,034.99
  5. Step 5: Solve for x
    x = 65,768,034.99/10,439.65
  6. Step 6: Final answer
    x = 6,299.83

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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.