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Finding the Fourth Proportional to 7,911.80, 11,864.94 and 2,716.46

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Solution

The fourth proportional to 7,911.80, 11,864.94 and 2,716.46 is: 4,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.80 : 11,864.94 = 2,716.46 : x
  2. Step 2: Convert to fraction form
    7,911.80/11,864.94 = 2,716.46/x
  3. Step 3: Cross multiply
    7,911.80x = 11,864.94 × 2,716.46
  4. Step 4: Simplify right side
    7,911.80x = 32,230,634.91
  5. Step 5: Solve for x
    x = 32,230,634.91/7,911.80
  6. Step 6: Final answer
    x = 4,073.74

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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.