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Finding the Fourth Proportional to 10,480.57, 15,713.31 and 3,456.67

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Solution

The fourth proportional to 10,480.57, 15,713.31 and 3,456.67 is: 5,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.57 : 15,713.31 = 3,456.67 : x
  2. Step 2: Convert to fraction form
    10,480.57/15,713.31 = 3,456.67/x
  3. Step 3: Cross multiply
    10,480.57x = 15,713.31 × 3,456.67
  4. Step 4: Simplify right side
    10,480.57x = 54,315,727.28
  5. Step 5: Solve for x
    x = 54,315,727.28/10,480.57
  6. Step 6: Final answer
    x = 5,182.52

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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.