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Finding the Fourth Proportional to 11,734.65, 16,177.05 and 8,371.71

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Solution

The fourth proportional to 11,734.65, 16,177.05 and 8,371.71 is: 11,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.65 : 16,177.05 = 8,371.71 : x
  2. Step 2: Convert to fraction form
    11,734.65/16,177.05 = 8,371.71/x
  3. Step 3: Cross multiply
    11,734.65x = 16,177.05 × 8,371.71
  4. Step 4: Simplify right side
    11,734.65x = 135,429,571.26
  5. Step 5: Solve for x
    x = 135,429,571.26/11,734.65
  6. Step 6: Final answer
    x = 11,541.00

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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.