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Finding the Fourth Proportional to 7,894.78, 10,883.76 and 5,241.22

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Solution

The fourth proportional to 7,894.78, 10,883.76 and 5,241.22 is: 7,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.78 : 10,883.76 = 5,241.22 : x
  2. Step 2: Convert to fraction form
    7,894.78/10,883.76 = 5,241.22/x
  3. Step 3: Cross multiply
    7,894.78x = 10,883.76 × 5,241.22
  4. Step 4: Simplify right side
    7,894.78x = 57,044,180.59
  5. Step 5: Solve for x
    x = 57,044,180.59/7,894.78
  6. Step 6: Final answer
    x = 7,225.56

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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.