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Finding the Fourth Proportional to 7,765.83, 10,716.90 and 4,229.04

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Solution

The fourth proportional to 7,765.83, 10,716.90 and 4,229.04 is: 5,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.83 : 10,716.90 = 4,229.04 : x
  2. Step 2: Convert to fraction form
    7,765.83/10,716.90 = 4,229.04/x
  3. Step 3: Cross multiply
    7,765.83x = 10,716.90 × 4,229.04
  4. Step 4: Simplify right side
    7,765.83x = 45,322,198.78
  5. Step 5: Solve for x
    x = 45,322,198.78/7,765.83
  6. Step 6: Final answer
    x = 5,836.10

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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.