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Finding the Fourth Proportional to 10,149.57, 15,220.46 and 3,484.82

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Solution

The fourth proportional to 10,149.57, 15,220.46 and 3,484.82 is: 5,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.57 : 15,220.46 = 3,484.82 : x
  2. Step 2: Convert to fraction form
    10,149.57/15,220.46 = 3,484.82/x
  3. Step 3: Cross multiply
    10,149.57x = 15,220.46 × 3,484.82
  4. Step 4: Simplify right side
    10,149.57x = 53,040,584.04
  5. Step 5: Solve for x
    x = 53,040,584.04/10,149.57
  6. Step 6: Final answer
    x = 5,225.89

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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.