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Finding the Fourth Proportional to 11,288.02, 16,933.14 and 3,891.50

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Solution

The fourth proportional to 11,288.02, 16,933.14 and 3,891.50 is: 5,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.02 : 16,933.14 = 3,891.50 : x
  2. Step 2: Convert to fraction form
    11,288.02/16,933.14 = 3,891.50/x
  3. Step 3: Cross multiply
    11,288.02x = 16,933.14 × 3,891.50
  4. Step 4: Simplify right side
    11,288.02x = 65,895,356.64
  5. Step 5: Solve for x
    x = 65,895,356.64/11,288.02
  6. Step 6: Final answer
    x = 5,837.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.