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Finding the Fourth Proportional to 7,906.85, 10,912.55 and 4,549.60

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Solution

The fourth proportional to 7,906.85, 10,912.55 and 4,549.60 is: 6,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.85 : 10,912.55 = 4,549.60 : x
  2. Step 2: Convert to fraction form
    7,906.85/10,912.55 = 4,549.60/x
  3. Step 3: Cross multiply
    7,906.85x = 10,912.55 × 4,549.60
  4. Step 4: Simplify right side
    7,906.85x = 49,647,737.48
  5. Step 5: Solve for x
    x = 49,647,737.48/7,906.85
  6. Step 6: Final answer
    x = 6,279.08

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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.