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Finding the Fourth Proportional to 6,765.46, 10,148.49 and 2,604.08

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Solution

The fourth proportional to 6,765.46, 10,148.49 and 2,604.08 is: 3,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.46 : 10,148.49 = 2,604.08 : x
  2. Step 2: Convert to fraction form
    6,765.46/10,148.49 = 2,604.08/x
  3. Step 3: Cross multiply
    6,765.46x = 10,148.49 × 2,604.08
  4. Step 4: Simplify right side
    6,765.46x = 26,427,505.21
  5. Step 5: Solve for x
    x = 26,427,505.21/6,765.46
  6. Step 6: Final answer
    x = 3,906.24

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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.