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Finding the Fourth Proportional to 6,766.70, 10,146.16 and 2,606.17

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Solution

The fourth proportional to 6,766.70, 10,146.16 and 2,606.17 is: 3,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.70 : 10,146.16 = 2,606.17 : x
  2. Step 2: Convert to fraction form
    6,766.70/10,146.16 = 2,606.17/x
  3. Step 3: Cross multiply
    6,766.70x = 10,146.16 × 2,606.17
  4. Step 4: Simplify right side
    6,766.70x = 26,442,641.86
  5. Step 5: Solve for x
    x = 26,442,641.86/6,766.70
  6. Step 6: Final answer
    x = 3,907.76

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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.