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Finding the Fourth Proportional to 8,771.14, 13,156.69 and 2,197.31

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Solution

The fourth proportional to 8,771.14, 13,156.69 and 2,197.31 is: 3,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.14 : 13,156.69 = 2,197.31 : x
  2. Step 2: Convert to fraction form
    8,771.14/13,156.69 = 2,197.31/x
  3. Step 3: Cross multiply
    8,771.14x = 13,156.69 × 2,197.31
  4. Step 4: Simplify right side
    8,771.14x = 28,909,326.50
  5. Step 5: Solve for x
    x = 28,909,326.50/8,771.14
  6. Step 6: Final answer
    x = 3,295.96

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Why These Related Problems?

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