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Finding the Fourth Proportional to 8,770.98, 13,156.16 and 2,197.22

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Solution

The fourth proportional to 8,770.98, 13,156.16 and 2,197.22 is: 3,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.98 : 13,156.16 = 2,197.22 : x
  2. Step 2: Convert to fraction form
    8,770.98/13,156.16 = 2,197.22/x
  3. Step 3: Cross multiply
    8,770.98x = 13,156.16 × 2,197.22
  4. Step 4: Simplify right side
    8,770.98x = 28,906,977.88
  5. Step 5: Solve for x
    x = 28,906,977.88/8,770.98
  6. Step 6: Final answer
    x = 3,295.75

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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.