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Finding the Fourth Proportional to 11,997.51, 16,559.55 and 8,175.48

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Solution

The fourth proportional to 11,997.51, 16,559.55 and 8,175.48 is: 11,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.51 : 16,559.55 = 8,175.48 : x
  2. Step 2: Convert to fraction form
    11,997.51/16,559.55 = 8,175.48/x
  3. Step 3: Cross multiply
    11,997.51x = 16,559.55 × 8,175.48
  4. Step 4: Simplify right side
    11,997.51x = 135,382,269.83
  5. Step 5: Solve for x
    x = 135,382,269.83/11,997.51
  6. Step 6: Final answer
    x = 11,284.20

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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.