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Finding the Fourth Proportional to 6,767.70, 10,140.57 and 3,476.22

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Solution

The fourth proportional to 6,767.70, 10,140.57 and 3,476.22 is: 5,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.70 : 10,140.57 = 3,476.22 : x
  2. Step 2: Convert to fraction form
    6,767.70/10,140.57 = 3,476.22/x
  3. Step 3: Cross multiply
    6,767.70x = 10,140.57 × 3,476.22
  4. Step 4: Simplify right side
    6,767.70x = 35,250,852.25
  5. Step 5: Solve for x
    x = 35,250,852.25/6,767.70
  6. Step 6: Final answer
    x = 5,208.69

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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.