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Finding the Fourth Proportional to 11,732.91, 16,191.41 and 7,017.19

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Solution

The fourth proportional to 11,732.91, 16,191.41 and 7,017.19 is: 9,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.91 : 16,191.41 = 7,017.19 : x
  2. Step 2: Convert to fraction form
    11,732.91/16,191.41 = 7,017.19/x
  3. Step 3: Cross multiply
    11,732.91x = 16,191.41 × 7,017.19
  4. Step 4: Simplify right side
    11,732.91x = 113,618,164.25
  5. Step 5: Solve for x
    x = 113,618,164.25/11,732.91
  6. Step 6: Final answer
    x = 9,683.72

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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.