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Finding the Fourth Proportional to 6,774.78, 10,165.41 and 2,394.30

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Solution

The fourth proportional to 6,774.78, 10,165.41 and 2,394.30 is: 3,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.78 : 10,165.41 = 2,394.30 : x
  2. Step 2: Convert to fraction form
    6,774.78/10,165.41 = 2,394.30/x
  3. Step 3: Cross multiply
    6,774.78x = 10,165.41 × 2,394.30
  4. Step 4: Simplify right side
    6,774.78x = 24,339,041.16
  5. Step 5: Solve for x
    x = 24,339,041.16/6,774.78
  6. Step 6: Final answer
    x = 3,592.60

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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.