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Finding the Fourth Proportional to 7,716.68, 10,649.02 and 4,179.88

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Solution

The fourth proportional to 7,716.68, 10,649.02 and 4,179.88 is: 5,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.68 : 10,649.02 = 4,179.88 : x
  2. Step 2: Convert to fraction form
    7,716.68/10,649.02 = 4,179.88/x
  3. Step 3: Cross multiply
    7,716.68x = 10,649.02 × 4,179.88
  4. Step 4: Simplify right side
    7,716.68x = 44,511,625.72
  5. Step 5: Solve for x
    x = 44,511,625.72/7,716.68
  6. Step 6: Final answer
    x = 5,768.24

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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.