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Finding the Fourth Proportional to 11,618.32, 16,027.92 and 6,836.68

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Solution

The fourth proportional to 11,618.32, 16,027.92 and 6,836.68 is: 9,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.32 : 16,027.92 = 6,836.68 : x
  2. Step 2: Convert to fraction form
    11,618.32/16,027.92 = 6,836.68/x
  3. Step 3: Cross multiply
    11,618.32x = 16,027.92 × 6,836.68
  4. Step 4: Simplify right side
    11,618.32x = 109,577,760.11
  5. Step 5: Solve for x
    x = 109,577,760.11/11,618.32
  6. Step 6: Final answer
    x = 9,431.46

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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.