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Finding the Fourth Proportional to 8,074.46, 12,109.32 and 3,142.92

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Solution

The fourth proportional to 8,074.46, 12,109.32 and 3,142.92 is: 4,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.46 : 12,109.32 = 3,142.92 : x
  2. Step 2: Convert to fraction form
    8,074.46/12,109.32 = 3,142.92/x
  3. Step 3: Cross multiply
    8,074.46x = 12,109.32 × 3,142.92
  4. Step 4: Simplify right side
    8,074.46x = 38,058,624.01
  5. Step 5: Solve for x
    x = 38,058,624.01/8,074.46
  6. Step 6: Final answer
    x = 4,713.46

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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.