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Finding the Fourth Proportional to 7,716.88, 11,568.24 and 2,785.36

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Solution

The fourth proportional to 7,716.88, 11,568.24 and 2,785.36 is: 4,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.88 : 11,568.24 = 2,785.36 : x
  2. Step 2: Convert to fraction form
    7,716.88/11,568.24 = 2,785.36/x
  3. Step 3: Cross multiply
    7,716.88x = 11,568.24 × 2,785.36
  4. Step 4: Simplify right side
    7,716.88x = 32,221,712.97
  5. Step 5: Solve for x
    x = 32,221,712.97/7,716.88
  6. Step 6: Final answer
    x = 4,175.48

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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.