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Finding the Fourth Proportional to 7,881.86, 11,837.34 and 5,286.62

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Solution

The fourth proportional to 7,881.86, 11,837.34 and 5,286.62 is: 7,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.86 : 11,837.34 = 5,286.62 : x
  2. Step 2: Convert to fraction form
    7,881.86/11,837.34 = 5,286.62/x
  3. Step 3: Cross multiply
    7,881.86x = 11,837.34 × 5,286.62
  4. Step 4: Simplify right side
    7,881.86x = 62,579,518.39
  5. Step 5: Solve for x
    x = 62,579,518.39/7,881.86
  6. Step 6: Final answer
    x = 7,939.69

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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.