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Finding the Fourth Proportional to 8,140.66, 12,215.43 and 3,758.56

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Solution

The fourth proportional to 8,140.66, 12,215.43 and 3,758.56 is: 5,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.66 : 12,215.43 = 3,758.56 : x
  2. Step 2: Convert to fraction form
    8,140.66/12,215.43 = 3,758.56/x
  3. Step 3: Cross multiply
    8,140.66x = 12,215.43 × 3,758.56
  4. Step 4: Simplify right side
    8,140.66x = 45,912,426.58
  5. Step 5: Solve for x
    x = 45,912,426.58/8,140.66
  6. Step 6: Final answer
    x = 5,639.89

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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.