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Finding the Fourth Proportional to 11,585.70, 15,986.85 and 8,227.29

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Solution

The fourth proportional to 11,585.70, 15,986.85 and 8,227.29 is: 11,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.70 : 15,986.85 = 8,227.29 : x
  2. Step 2: Convert to fraction form
    11,585.70/15,986.85 = 8,227.29/x
  3. Step 3: Cross multiply
    11,585.70x = 15,986.85 × 8,227.29
  4. Step 4: Simplify right side
    11,585.70x = 131,528,480.23
  5. Step 5: Solve for x
    x = 131,528,480.23/11,585.70
  6. Step 6: Final answer
    x = 11,352.66

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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.