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Finding the Fourth Proportional to 11,132.77, 16,699.66 and 6,198.69

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Solution

The fourth proportional to 11,132.77, 16,699.66 and 6,198.69 is: 9,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.77 : 16,699.66 = 6,198.69 : x
  2. Step 2: Convert to fraction form
    11,132.77/16,699.66 = 6,198.69/x
  3. Step 3: Cross multiply
    11,132.77x = 16,699.66 × 6,198.69
  4. Step 4: Simplify right side
    11,132.77x = 103,515,984.45
  5. Step 5: Solve for x
    x = 103,515,984.45/11,132.77
  6. Step 6: Final answer
    x = 9,298.31

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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.