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Finding the Fourth Proportional to 7,757.60, 10,704.82 and 4,399.34

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Solution

The fourth proportional to 7,757.60, 10,704.82 and 4,399.34 is: 6,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.60 : 10,704.82 = 4,399.34 : x
  2. Step 2: Convert to fraction form
    7,757.60/10,704.82 = 4,399.34/x
  3. Step 3: Cross multiply
    7,757.60x = 10,704.82 × 4,399.34
  4. Step 4: Simplify right side
    7,757.60x = 47,094,142.82
  5. Step 5: Solve for x
    x = 47,094,142.82/7,757.60
  6. Step 6: Final answer
    x = 6,070.71

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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.