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Finding the Fourth Proportional to 8,726.80, 13,089.24 and 4,109.20

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Solution

The fourth proportional to 8,726.80, 13,089.24 and 4,109.20 is: 6,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.80 : 13,089.24 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    8,726.80/13,089.24 = 4,109.20/x
  3. Step 3: Cross multiply
    8,726.80x = 13,089.24 × 4,109.20
  4. Step 4: Simplify right side
    8,726.80x = 53,786,305.01
  5. Step 5: Solve for x
    x = 53,786,305.01/8,726.80
  6. Step 6: Final answer
    x = 6,163.35

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