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Finding the Fourth Proportional to 8,726.42, 13,111.50 and 8,201.54

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Solution

The fourth proportional to 8,726.42, 13,111.50 and 8,201.54 is: 12,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.42 : 13,111.50 = 8,201.54 : x
  2. Step 2: Convert to fraction form
    8,726.42/13,111.50 = 8,201.54/x
  3. Step 3: Cross multiply
    8,726.42x = 13,111.50 × 8,201.54
  4. Step 4: Simplify right side
    8,726.42x = 107,534,426.15
  5. Step 5: Solve for x
    x = 107,534,426.15/8,726.42
  6. Step 6: Final answer
    x = 12,322.86

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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.