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Finding the Fourth Proportional to 6,767.52, 10,154.31 and 4,301.70

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Solution

The fourth proportional to 6,767.52, 10,154.31 and 4,301.70 is: 6,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.52 : 10,154.31 = 4,301.70 : x
  2. Step 2: Convert to fraction form
    6,767.52/10,154.31 = 4,301.70/x
  3. Step 3: Cross multiply
    6,767.52x = 10,154.31 × 4,301.70
  4. Step 4: Simplify right side
    6,767.52x = 43,680,795.33
  5. Step 5: Solve for x
    x = 43,680,795.33/6,767.52
  6. Step 6: Final answer
    x = 6,454.48

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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.