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Finding the Fourth Proportional to 11,867.11, 17,768.23 and 8,538.68

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Solution

The fourth proportional to 11,867.11, 17,768.23 and 8,538.68 is: 12,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.11 : 17,768.23 = 8,538.68 : x
  2. Step 2: Convert to fraction form
    11,867.11/17,768.23 = 8,538.68/x
  3. Step 3: Cross multiply
    11,867.11x = 17,768.23 × 8,538.68
  4. Step 4: Simplify right side
    11,867.11x = 151,717,253.21
  5. Step 5: Solve for x
    x = 151,717,253.21/11,867.11
  6. Step 6: Final answer
    x = 12,784.69

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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.