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Finding the Fourth Proportional to 8,003.20, 11,986.24 and 7,726.40

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Solution

The fourth proportional to 8,003.20, 11,986.24 and 7,726.40 is: 11,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.20 : 11,986.24 = 7,726.40 : x
  2. Step 2: Convert to fraction form
    8,003.20/11,986.24 = 7,726.40/x
  3. Step 3: Cross multiply
    8,003.20x = 11,986.24 × 7,726.40
  4. Step 4: Simplify right side
    8,003.20x = 92,610,484.74
  5. Step 5: Solve for x
    x = 92,610,484.74/8,003.20
  6. Step 6: Final answer
    x = 11,571.68

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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.