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Finding the Fourth Proportional to 10,471.58, 15,708.41 and 3,451.67

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Solution

The fourth proportional to 10,471.58, 15,708.41 and 3,451.67 is: 5,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.58 : 15,708.41 = 3,451.67 : x
  2. Step 2: Convert to fraction form
    10,471.58/15,708.41 = 3,451.67/x
  3. Step 3: Cross multiply
    10,471.58x = 15,708.41 × 3,451.67
  4. Step 4: Simplify right side
    10,471.58x = 54,220,247.54
  5. Step 5: Solve for x
    x = 54,220,247.54/10,471.58
  6. Step 6: Final answer
    x = 5,177.85

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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.