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Finding the Fourth Proportional to 11,993.35, 16,531 and 8,013.01

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Solution

The fourth proportional to 11,993.35, 16,531 and 8,013.01 is: 11,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.35 : 16,531 = 8,013.01 : x
  2. Step 2: Convert to fraction form
    11,993.35/16,531 = 8,013.01/x
  3. Step 3: Cross multiply
    11,993.35x = 16,531 × 8,013.01
  4. Step 4: Simplify right side
    11,993.35x = 132,463,068.31
  5. Step 5: Solve for x
    x = 132,463,068.31/11,993.35
  6. Step 6: Final answer
    x = 11,044.71

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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.