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Finding the Fourth Proportional to 6,777.42, 10,165.90 and 2,394.78

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Solution

The fourth proportional to 6,777.42, 10,165.90 and 2,394.78 is: 3,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.42 : 10,165.90 = 2,394.78 : x
  2. Step 2: Convert to fraction form
    6,777.42/10,165.90 = 2,394.78/x
  3. Step 3: Cross multiply
    6,777.42x = 10,165.90 × 2,394.78
  4. Step 4: Simplify right side
    6,777.42x = 24,345,094.00
  5. Step 5: Solve for x
    x = 24,345,094.00/6,777.42
  6. Step 6: Final answer
    x = 3,592.09

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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.