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Finding the Fourth Proportional to 11,665.14, 17,500.81 and 6,116.97

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Solution

The fourth proportional to 11,665.14, 17,500.81 and 6,116.97 is: 9,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.14 : 17,500.81 = 6,116.97 : x
  2. Step 2: Convert to fraction form
    11,665.14/17,500.81 = 6,116.97/x
  3. Step 3: Cross multiply
    11,665.14x = 17,500.81 × 6,116.97
  4. Step 4: Simplify right side
    11,665.14x = 107,051,929.75
  5. Step 5: Solve for x
    x = 107,051,929.75/11,665.14
  6. Step 6: Final answer
    x = 9,177.08

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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.