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Finding the Fourth Proportional to 8,832.66, 13,227.39 and 4,204.50

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Solution

The fourth proportional to 8,832.66, 13,227.39 and 4,204.50 is: 6,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.66 : 13,227.39 = 4,204.50 : x
  2. Step 2: Convert to fraction form
    8,832.66/13,227.39 = 4,204.50/x
  3. Step 3: Cross multiply
    8,832.66x = 13,227.39 × 4,204.50
  4. Step 4: Simplify right side
    8,832.66x = 55,614,561.26
  5. Step 5: Solve for x
    x = 55,614,561.26/8,832.66
  6. Step 6: Final answer
    x = 6,296.47

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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.