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Finding the Fourth Proportional to 6,765.88, 10,148.10 and 3,207.14

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Solution

The fourth proportional to 6,765.88, 10,148.10 and 3,207.14 is: 4,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.88 : 10,148.10 = 3,207.14 : x
  2. Step 2: Convert to fraction form
    6,765.88/10,148.10 = 3,207.14/x
  3. Step 3: Cross multiply
    6,765.88x = 10,148.10 × 3,207.14
  4. Step 4: Simplify right side
    6,765.88x = 32,546,377.43
  5. Step 5: Solve for x
    x = 32,546,377.43/6,765.88
  6. Step 6: Final answer
    x = 4,810.37

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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.