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Finding the Fourth Proportional to 11,538.22, 15,922.72 and 6,233.02

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Solution

The fourth proportional to 11,538.22, 15,922.72 and 6,233.02 is: 8,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.22 : 15,922.72 = 6,233.02 : x
  2. Step 2: Convert to fraction form
    11,538.22/15,922.72 = 6,233.02/x
  3. Step 3: Cross multiply
    11,538.22x = 15,922.72 × 6,233.02
  4. Step 4: Simplify right side
    11,538.22x = 99,246,632.21
  5. Step 5: Solve for x
    x = 99,246,632.21/11,538.22
  6. Step 6: Final answer
    x = 8,601.55

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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.