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Finding the Fourth Proportional to 6,781.93, 10,172.99 and 2,101.88

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Solution

The fourth proportional to 6,781.93, 10,172.99 and 2,101.88 is: 3,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.93 : 10,172.99 = 2,101.88 : x
  2. Step 2: Convert to fraction form
    6,781.93/10,172.99 = 2,101.88/x
  3. Step 3: Cross multiply
    6,781.93x = 10,172.99 × 2,101.88
  4. Step 4: Simplify right side
    6,781.93x = 21,382,434.91
  5. Step 5: Solve for x
    x = 21,382,434.91/6,781.93
  6. Step 6: Final answer
    x = 3,152.86

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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.