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Finding the Fourth Proportional to 11,908.68, 16,439.40 and 7,661.76

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Solution

The fourth proportional to 11,908.68, 16,439.40 and 7,661.76 is: 10,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.68 : 16,439.40 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    11,908.68/16,439.40 = 7,661.76/x
  3. Step 3: Cross multiply
    11,908.68x = 16,439.40 × 7,661.76
  4. Step 4: Simplify right side
    11,908.68x = 125,954,737.34
  5. Step 5: Solve for x
    x = 125,954,737.34/11,908.68
  6. Step 6: Final answer
    x = 10,576.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.