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Finding the Fourth Proportional to 6,767.70, 10,147.66 and 2,607.17

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Solution

The fourth proportional to 6,767.70, 10,147.66 and 2,607.17 is: 3,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.70 : 10,147.66 = 2,607.17 : x
  2. Step 2: Convert to fraction form
    6,767.70/10,147.66 = 2,607.17/x
  3. Step 3: Cross multiply
    6,767.70x = 10,147.66 × 2,607.17
  4. Step 4: Simplify right side
    6,767.70x = 26,456,674.72
  5. Step 5: Solve for x
    x = 26,456,674.72/6,767.70
  6. Step 6: Final answer
    x = 3,909.26

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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.