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Finding the Fourth Proportional to 6,777.42, 10,165.53 and 2,394.66

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Solution

The fourth proportional to 6,777.42, 10,165.53 and 2,394.66 is: 3,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.42 : 10,165.53 = 2,394.66 : x
  2. Step 2: Convert to fraction form
    6,777.42/10,165.53 = 2,394.66/x
  3. Step 3: Cross multiply
    6,777.42x = 10,165.53 × 2,394.66
  4. Step 4: Simplify right side
    6,777.42x = 24,342,988.07
  5. Step 5: Solve for x
    x = 24,342,988.07/6,777.42
  6. Step 6: Final answer
    x = 3,591.78

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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.