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Finding the Fourth Proportional to 11,164.30, 16,720.77 and 6,222.99

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Solution

The fourth proportional to 11,164.30, 16,720.77 and 6,222.99 is: 9,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.30 : 16,720.77 = 6,222.99 : x
  2. Step 2: Convert to fraction form
    11,164.30/16,720.77 = 6,222.99/x
  3. Step 3: Cross multiply
    11,164.30x = 16,720.77 × 6,222.99
  4. Step 4: Simplify right side
    11,164.30x = 104,053,270.54
  5. Step 5: Solve for x
    x = 104,053,270.54/11,164.30
  6. Step 6: Final answer
    x = 9,320.18

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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.