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Finding the Fourth Proportional to 6,781.69, 10,172.12 and 2,101.71

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Solution

The fourth proportional to 6,781.69, 10,172.12 and 2,101.71 is: 3,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.69 : 10,172.12 = 2,101.71 : x
  2. Step 2: Convert to fraction form
    6,781.69/10,172.12 = 2,101.71/x
  3. Step 3: Cross multiply
    6,781.69x = 10,172.12 × 2,101.71
  4. Step 4: Simplify right side
    6,781.69x = 21,378,835.82
  5. Step 5: Solve for x
    x = 21,378,835.82/6,781.69
  6. Step 6: Final answer
    x = 3,152.44

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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.