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Finding the Fourth Proportional to 7,914.50, 10,922.20 and 5,124.86

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Solution

The fourth proportional to 7,914.50, 10,922.20 and 5,124.86 is: 7,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.50 : 10,922.20 = 5,124.86 : x
  2. Step 2: Convert to fraction form
    7,914.50/10,922.20 = 5,124.86/x
  3. Step 3: Cross multiply
    7,914.50x = 10,922.20 × 5,124.86
  4. Step 4: Simplify right side
    7,914.50x = 55,974,745.89
  5. Step 5: Solve for x
    x = 55,974,745.89/7,914.50
  6. Step 6: Final answer
    x = 7,072.43

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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.