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Finding the Fourth Proportional to 11,381.26, 15,711.70 and 8,823.25

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Solution

The fourth proportional to 11,381.26, 15,711.70 and 8,823.25 is: 12,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.26 : 15,711.70 = 8,823.25 : x
  2. Step 2: Convert to fraction form
    11,381.26/15,711.70 = 8,823.25/x
  3. Step 3: Cross multiply
    11,381.26x = 15,711.70 × 8,823.25
  4. Step 4: Simplify right side
    11,381.26x = 138,628,257.03
  5. Step 5: Solve for x
    x = 138,628,257.03/11,381.26
  6. Step 6: Final answer
    x = 12,180.40

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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.