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Finding the Fourth Proportional to 11,338.60, 17,022.30 and 6,077.80

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Solution

The fourth proportional to 11,338.60, 17,022.30 and 6,077.80 is: 9,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.60 : 17,022.30 = 6,077.80 : x
  2. Step 2: Convert to fraction form
    11,338.60/17,022.30 = 6,077.80/x
  3. Step 3: Cross multiply
    11,338.60x = 17,022.30 × 6,077.80
  4. Step 4: Simplify right side
    11,338.60x = 103,458,134.94
  5. Step 5: Solve for x
    x = 103,458,134.94/11,338.60
  6. Step 6: Final answer
    x = 9,124.42

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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.