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Finding the Fourth Proportional to 11,199.16, 16,805.63 and 6,521.24

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Solution

The fourth proportional to 11,199.16, 16,805.63 and 6,521.24 is: 9,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.16 : 16,805.63 = 6,521.24 : x
  2. Step 2: Convert to fraction form
    11,199.16/16,805.63 = 6,521.24/x
  3. Step 3: Cross multiply
    11,199.16x = 16,805.63 × 6,521.24
  4. Step 4: Simplify right side
    11,199.16x = 109,593,546.58
  5. Step 5: Solve for x
    x = 109,593,546.58/11,199.16
  6. Step 6: Final answer
    x = 9,785.87

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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.