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Finding the Fourth Proportional to 8,471.88, 12,707.73 and 3,473.14

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Solution

The fourth proportional to 8,471.88, 12,707.73 and 3,473.14 is: 5,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.88 : 12,707.73 = 3,473.14 : x
  2. Step 2: Convert to fraction form
    8,471.88/12,707.73 = 3,473.14/x
  3. Step 3: Cross multiply
    8,471.88x = 12,707.73 × 3,473.14
  4. Step 4: Simplify right side
    8,471.88x = 44,135,754.28
  5. Step 5: Solve for x
    x = 44,135,754.28/8,471.88
  6. Step 6: Final answer
    x = 5,209.67

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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.