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Finding the Fourth Proportional to 11,352.27, 17,027.16 and 3,033.02

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Solution

The fourth proportional to 11,352.27, 17,027.16 and 3,033.02 is: 4,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.27 : 17,027.16 = 3,033.02 : x
  2. Step 2: Convert to fraction form
    11,352.27/17,027.16 = 3,033.02/x
  3. Step 3: Cross multiply
    11,352.27x = 17,027.16 × 3,033.02
  4. Step 4: Simplify right side
    11,352.27x = 51,643,716.82
  5. Step 5: Solve for x
    x = 51,643,716.82/11,352.27
  6. Step 6: Final answer
    x = 4,549.20

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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.