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Finding the Fourth Proportional to 11,665.08, 17,489.88 and 6,111.72

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Solution

The fourth proportional to 11,665.08, 17,489.88 and 6,111.72 is: 9,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.08 : 17,489.88 = 6,111.72 : x
  2. Step 2: Convert to fraction form
    11,665.08/17,489.88 = 6,111.72/x
  3. Step 3: Cross multiply
    11,665.08x = 17,489.88 × 6,111.72
  4. Step 4: Simplify right side
    11,665.08x = 106,893,249.39
  5. Step 5: Solve for x
    x = 106,893,249.39/11,665.08
  6. Step 6: Final answer
    x = 9,163.52

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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.