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Finding the Fourth Proportional to 7,801.87, 11,692.45 and 3,414.55

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Solution

The fourth proportional to 7,801.87, 11,692.45 and 3,414.55 is: 5,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.87 : 11,692.45 = 3,414.55 : x
  2. Step 2: Convert to fraction form
    7,801.87/11,692.45 = 3,414.55/x
  3. Step 3: Cross multiply
    7,801.87x = 11,692.45 × 3,414.55
  4. Step 4: Simplify right side
    7,801.87x = 39,924,388.15
  5. Step 5: Solve for x
    x = 39,924,388.15/7,801.87
  6. Step 6: Final answer
    x = 5,117.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.