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Finding the Fourth Proportional to 6,767.40, 10,160.70 and 4,175.40

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Solution

The fourth proportional to 6,767.40, 10,160.70 and 4,175.40 is: 6,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.40 : 10,160.70 = 4,175.40 : x
  2. Step 2: Convert to fraction form
    6,767.40/10,160.70 = 4,175.40/x
  3. Step 3: Cross multiply
    6,767.40x = 10,160.70 × 4,175.40
  4. Step 4: Simplify right side
    6,767.40x = 42,424,986.78
  5. Step 5: Solve for x
    x = 42,424,986.78/6,767.40
  6. Step 6: Final answer
    x = 6,269.02

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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.