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Finding the Fourth Proportional to 7,770.90, 11,654.55 and 2,223.21

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Solution

The fourth proportional to 7,770.90, 11,654.55 and 2,223.21 is: 3,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.90 : 11,654.55 = 2,223.21 : x
  2. Step 2: Convert to fraction form
    7,770.90/11,654.55 = 2,223.21/x
  3. Step 3: Cross multiply
    7,770.90x = 11,654.55 × 2,223.21
  4. Step 4: Simplify right side
    7,770.90x = 25,910,512.11
  5. Step 5: Solve for x
    x = 25,910,512.11/7,770.90
  6. Step 6: Final answer
    x = 3,334.30

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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.