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Finding the Fourth Proportional to 8,311.33, 11,458.61 and 6,716.17

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Solution

The fourth proportional to 8,311.33, 11,458.61 and 6,716.17 is: 9,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.33 : 11,458.61 = 6,716.17 : x
  2. Step 2: Convert to fraction form
    8,311.33/11,458.61 = 6,716.17/x
  3. Step 3: Cross multiply
    8,311.33x = 11,458.61 × 6,716.17
  4. Step 4: Simplify right side
    8,311.33x = 76,957,939.14
  5. Step 5: Solve for x
    x = 76,957,939.14/8,311.33
  6. Step 6: Final answer
    x = 9,259.40

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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.