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Finding the Fourth Proportional to 8,003.86, 11,998.35 and 3,559.19

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Solution

The fourth proportional to 8,003.86, 11,998.35 and 3,559.19 is: 5,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.86 : 11,998.35 = 3,559.19 : x
  2. Step 2: Convert to fraction form
    8,003.86/11,998.35 = 3,559.19/x
  3. Step 3: Cross multiply
    8,003.86x = 11,998.35 × 3,559.19
  4. Step 4: Simplify right side
    8,003.86x = 42,704,329.55
  5. Step 5: Solve for x
    x = 42,704,329.55/8,003.86
  6. Step 6: Final answer
    x = 5,335.47

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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.