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Finding the Fourth Proportional to 8,117.34, 12,166.79 and 3,434.43

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Solution

The fourth proportional to 8,117.34, 12,166.79 and 3,434.43 is: 5,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.34 : 12,166.79 = 3,434.43 : x
  2. Step 2: Convert to fraction form
    8,117.34/12,166.79 = 3,434.43/x
  3. Step 3: Cross multiply
    8,117.34x = 12,166.79 × 3,434.43
  4. Step 4: Simplify right side
    8,117.34x = 41,785,945.10
  5. Step 5: Solve for x
    x = 41,785,945.10/8,117.34
  6. Step 6: Final answer
    x = 5,147.74

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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.