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Finding the Fourth Proportional to 7,910.29, 11,854.50 and 6,734.17

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Solution

The fourth proportional to 7,910.29, 11,854.50 and 6,734.17 is: 10,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.29 : 11,854.50 = 6,734.17 : x
  2. Step 2: Convert to fraction form
    7,910.29/11,854.50 = 6,734.17/x
  3. Step 3: Cross multiply
    7,910.29x = 11,854.50 × 6,734.17
  4. Step 4: Simplify right side
    7,910.29x = 79,830,218.27
  5. Step 5: Solve for x
    x = 79,830,218.27/7,910.29
  6. Step 6: Final answer
    x = 10,091.95

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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.