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Finding the Fourth Proportional to 10,297.22, 15,443.40 and 5,912.42

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Solution

The fourth proportional to 10,297.22, 15,443.40 and 5,912.42 is: 8,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.22 : 15,443.40 = 5,912.42 : x
  2. Step 2: Convert to fraction form
    10,297.22/15,443.40 = 5,912.42/x
  3. Step 3: Cross multiply
    10,297.22x = 15,443.40 × 5,912.42
  4. Step 4: Simplify right side
    10,297.22x = 91,307,867.03
  5. Step 5: Solve for x
    x = 91,307,867.03/10,297.22
  6. Step 6: Final answer
    x = 8,867.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.