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Finding the Fourth Proportional to 11,538.56, 15,922.92 and 6,434.12

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Solution

The fourth proportional to 11,538.56, 15,922.92 and 6,434.12 is: 8,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.56 : 15,922.92 = 6,434.12 : x
  2. Step 2: Convert to fraction form
    11,538.56/15,922.92 = 6,434.12/x
  3. Step 3: Cross multiply
    11,538.56x = 15,922.92 × 6,434.12
  4. Step 4: Simplify right side
    11,538.56x = 102,449,978.03
  5. Step 5: Solve for x
    x = 102,449,978.03/11,538.56
  6. Step 6: Final answer
    x = 8,878.92

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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.