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Finding the Fourth Proportional to 11,766.10, 16,231.09 and 9,530.50

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Solution

The fourth proportional to 11,766.10, 16,231.09 and 9,530.50 is: 13,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.10 : 16,231.09 = 9,530.50 : x
  2. Step 2: Convert to fraction form
    11,766.10/16,231.09 = 9,530.50/x
  3. Step 3: Cross multiply
    11,766.10x = 16,231.09 × 9,530.50
  4. Step 4: Simplify right side
    11,766.10x = 154,690,403.25
  5. Step 5: Solve for x
    x = 154,690,403.25/11,766.10
  6. Step 6: Final answer
    x = 13,147.13

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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.