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Finding the Fourth Proportional to 8,139.66, 12,213.93 and 3,757.56

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Solution

The fourth proportional to 8,139.66, 12,213.93 and 3,757.56 is: 5,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.66 : 12,213.93 = 3,757.56 : x
  2. Step 2: Convert to fraction form
    8,139.66/12,213.93 = 3,757.56/x
  3. Step 3: Cross multiply
    8,139.66x = 12,213.93 × 3,757.56
  4. Step 4: Simplify right side
    8,139.66x = 45,894,574.81
  5. Step 5: Solve for x
    x = 45,894,574.81/8,139.66
  6. Step 6: Final answer
    x = 5,638.39

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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.