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Finding the Fourth Proportional to 10,470.57, 15,708.28 and 3,450.33

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Solution

The fourth proportional to 10,470.57, 15,708.28 and 3,450.33 is: 5,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.57 : 15,708.28 = 3,450.33 : x
  2. Step 2: Convert to fraction form
    10,470.57/15,708.28 = 3,450.33/x
  3. Step 3: Cross multiply
    10,470.57x = 15,708.28 × 3,450.33
  4. Step 4: Simplify right side
    10,470.57x = 54,198,749.73
  5. Step 5: Solve for x
    x = 54,198,749.73/10,470.57
  6. Step 6: Final answer
    x = 5,176.30

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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.