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Finding the Fourth Proportional to 10,049.67, 15,080.78 and 4,206.33

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Solution

The fourth proportional to 10,049.67, 15,080.78 and 4,206.33 is: 6,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.67 : 15,080.78 = 4,206.33 : x
  2. Step 2: Convert to fraction form
    10,049.67/15,080.78 = 4,206.33/x
  3. Step 3: Cross multiply
    10,049.67x = 15,080.78 × 4,206.33
  4. Step 4: Simplify right side
    10,049.67x = 63,434,747.85
  5. Step 5: Solve for x
    x = 63,434,747.85/10,049.67
  6. Step 6: Final answer
    x = 6,312.12

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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.