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Finding the Fourth Proportional to 6,782.97, 10,170.72 and 2,101.68

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Solution

The fourth proportional to 6,782.97, 10,170.72 and 2,101.68 is: 3,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.97 : 10,170.72 = 2,101.68 : x
  2. Step 2: Convert to fraction form
    6,782.97/10,170.72 = 2,101.68/x
  3. Step 3: Cross multiply
    6,782.97x = 10,170.72 × 2,101.68
  4. Step 4: Simplify right side
    6,782.97x = 21,375,598.81
  5. Step 5: Solve for x
    x = 21,375,598.81/6,782.97
  6. Step 6: Final answer
    x = 3,151.36

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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.