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Finding the Fourth Proportional to 6,765.58, 10,149.32 and 2,085.97

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Solution

The fourth proportional to 6,765.58, 10,149.32 and 2,085.97 is: 3,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.58 : 10,149.32 = 2,085.97 : x
  2. Step 2: Convert to fraction form
    6,765.58/10,149.32 = 2,085.97/x
  3. Step 3: Cross multiply
    6,765.58x = 10,149.32 × 2,085.97
  4. Step 4: Simplify right side
    6,765.58x = 21,171,177.04
  5. Step 5: Solve for x
    x = 21,171,177.04/6,765.58
  6. Step 6: Final answer
    x = 3,129.25

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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.