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Finding the Fourth Proportional to 7,881.86, 10,881.32 and 5,755.25

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Solution

The fourth proportional to 7,881.86, 10,881.32 and 5,755.25 is: 7,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.86 : 10,881.32 = 5,755.25 : x
  2. Step 2: Convert to fraction form
    7,881.86/10,881.32 = 5,755.25/x
  3. Step 3: Cross multiply
    7,881.86x = 10,881.32 × 5,755.25
  4. Step 4: Simplify right side
    7,881.86x = 62,624,716.93
  5. Step 5: Solve for x
    x = 62,624,716.93/7,881.86
  6. Step 6: Final answer
    x = 7,945.42

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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.