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Finding the Fourth Proportional to 6,825.72, 10,242.24 and 3,909.72

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Solution

The fourth proportional to 6,825.72, 10,242.24 and 3,909.72 is: 5,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.72 : 10,242.24 = 3,909.72 : x
  2. Step 2: Convert to fraction form
    6,825.72/10,242.24 = 3,909.72/x
  3. Step 3: Cross multiply
    6,825.72x = 10,242.24 × 3,909.72
  4. Step 4: Simplify right side
    6,825.72x = 40,044,290.57
  5. Step 5: Solve for x
    x = 40,044,290.57/6,825.72
  6. Step 6: Final answer
    x = 5,866.68

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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.