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Finding the Fourth Proportional to 11,306.16, 15,584.52 and 8,912.25

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Solution

The fourth proportional to 11,306.16, 15,584.52 and 8,912.25 is: 12,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.16 : 15,584.52 = 8,912.25 : x
  2. Step 2: Convert to fraction form
    11,306.16/15,584.52 = 8,912.25/x
  3. Step 3: Cross multiply
    11,306.16x = 15,584.52 × 8,912.25
  4. Step 4: Simplify right side
    11,306.16x = 138,893,138.37
  5. Step 5: Solve for x
    x = 138,893,138.37/11,306.16
  6. Step 6: Final answer
    x = 12,284.73

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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.