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Finding the Fourth Proportional to 11,306.80, 16,957.50 and 3,407.68

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Solution

The fourth proportional to 11,306.80, 16,957.50 and 3,407.68 is: 5,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.80 : 16,957.50 = 3,407.68 : x
  2. Step 2: Convert to fraction form
    11,306.80/16,957.50 = 3,407.68/x
  3. Step 3: Cross multiply
    11,306.80x = 16,957.50 × 3,407.68
  4. Step 4: Simplify right side
    11,306.80x = 57,785,733.60
  5. Step 5: Solve for x
    x = 57,785,733.60/11,306.80
  6. Step 6: Final answer
    x = 5,110.71

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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.