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Finding the Fourth Proportional to 11,837.72, 16,336.11 and 6,532.69

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Solution

The fourth proportional to 11,837.72, 16,336.11 and 6,532.69 is: 9,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.72 : 16,336.11 = 6,532.69 : x
  2. Step 2: Convert to fraction form
    11,837.72/16,336.11 = 6,532.69/x
  3. Step 3: Cross multiply
    11,837.72x = 16,336.11 × 6,532.69
  4. Step 4: Simplify right side
    11,837.72x = 106,718,709.77
  5. Step 5: Solve for x
    x = 106,718,709.77/11,837.72
  6. Step 6: Final answer
    x = 9,015.14

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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.