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Finding the Fourth Proportional to 8,997.71, 13,471.11 and 4,771.33

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Solution

The fourth proportional to 8,997.71, 13,471.11 and 4,771.33 is: 7,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.71 : 13,471.11 = 4,771.33 : x
  2. Step 2: Convert to fraction form
    8,997.71/13,471.11 = 4,771.33/x
  3. Step 3: Cross multiply
    8,997.71x = 13,471.11 × 4,771.33
  4. Step 4: Simplify right side
    8,997.71x = 64,275,077.60
  5. Step 5: Solve for x
    x = 64,275,077.60/8,997.71
  6. Step 6: Final answer
    x = 7,143.50

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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.