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Finding the Fourth Proportional to 11,322.26, 15,624.90 and 6,286.80

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Solution

The fourth proportional to 11,322.26, 15,624.90 and 6,286.80 is: 8,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.26 : 15,624.90 = 6,286.80 : x
  2. Step 2: Convert to fraction form
    11,322.26/15,624.90 = 6,286.80/x
  3. Step 3: Cross multiply
    11,322.26x = 15,624.90 × 6,286.80
  4. Step 4: Simplify right side
    11,322.26x = 98,230,589.89
  5. Step 5: Solve for x
    x = 98,230,589.89/11,322.26
  6. Step 6: Final answer
    x = 8,675.89

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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.