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Finding the Fourth Proportional to 6,161.77, 8,519.44 and 5,886.37

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Solution

The fourth proportional to 6,161.77, 8,519.44 and 5,886.37 is: 8,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.77 : 8,519.44 = 5,886.37 : x
  2. Step 2: Convert to fraction form
    6,161.77/8,519.44 = 5,886.37/x
  3. Step 3: Cross multiply
    6,161.77x = 8,519.44 × 5,886.37
  4. Step 4: Simplify right side
    6,161.77x = 50,148,535.08
  5. Step 5: Solve for x
    x = 50,148,535.08/6,161.77
  6. Step 6: Final answer
    x = 8,138.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.