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Finding the Fourth Proportional to 8,261.81, 12,393.29 and 3,331.50

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Solution

The fourth proportional to 8,261.81, 12,393.29 and 3,331.50 is: 4,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.81 : 12,393.29 = 3,331.50 : x
  2. Step 2: Convert to fraction form
    8,261.81/12,393.29 = 3,331.50/x
  3. Step 3: Cross multiply
    8,261.81x = 12,393.29 × 3,331.50
  4. Step 4: Simplify right side
    8,261.81x = 41,288,167.01
  5. Step 5: Solve for x
    x = 41,288,167.01/8,261.81
  6. Step 6: Final answer
    x = 4,997.47

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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.