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Finding the Fourth Proportional to 7,914.50, 10,922.04 and 4,771.34

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Solution

The fourth proportional to 7,914.50, 10,922.04 and 4,771.34 is: 6,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.50 : 10,922.04 = 4,771.34 : x
  2. Step 2: Convert to fraction form
    7,914.50/10,922.04 = 4,771.34/x
  3. Step 3: Cross multiply
    7,914.50x = 10,922.04 × 4,771.34
  4. Step 4: Simplify right side
    7,914.50x = 52,112,766.33
  5. Step 5: Solve for x
    x = 52,112,766.33/7,914.50
  6. Step 6: Final answer
    x = 6,584.47

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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.