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Finding the Fourth Proportional to 11,538.42, 15,923.03 and 6,233.24

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Solution

The fourth proportional to 11,538.42, 15,923.03 and 6,233.24 is: 8,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.42 : 15,923.03 = 6,233.24 : x
  2. Step 2: Convert to fraction form
    11,538.42/15,923.03 = 6,233.24/x
  3. Step 3: Cross multiply
    11,538.42x = 15,923.03 × 6,233.24
  4. Step 4: Simplify right side
    11,538.42x = 99,251,956.74
  5. Step 5: Solve for x
    x = 99,251,956.74/11,538.42
  6. Step 6: Final answer
    x = 8,601.87

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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.