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Finding the Fourth Proportional to 7,914.24, 10,922.22 and 4,377.78

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Solution

The fourth proportional to 7,914.24, 10,922.22 and 4,377.78 is: 6,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.24 : 10,922.22 = 4,377.78 : x
  2. Step 2: Convert to fraction form
    7,914.24/10,922.22 = 4,377.78/x
  3. Step 3: Cross multiply
    7,914.24x = 10,922.22 × 4,377.78
  4. Step 4: Simplify right side
    7,914.24x = 47,815,076.27
  5. Step 5: Solve for x
    x = 47,815,076.27/7,914.24
  6. Step 6: Final answer
    x = 6,041.65

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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.