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Finding the Fourth Proportional to 7,873.89, 10,867.17 and 5,982.39

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Solution

The fourth proportional to 7,873.89, 10,867.17 and 5,982.39 is: 8,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.89 : 10,867.17 = 5,982.39 : x
  2. Step 2: Convert to fraction form
    7,873.89/10,867.17 = 5,982.39/x
  3. Step 3: Cross multiply
    7,873.89x = 10,867.17 × 5,982.39
  4. Step 4: Simplify right side
    7,873.89x = 65,011,649.14
  5. Step 5: Solve for x
    x = 65,011,649.14/7,873.89
  6. Step 6: Final answer
    x = 8,256.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.