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Finding the Fourth Proportional to 11,767.94, 17,652.92 and 3,002.83

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Solution

The fourth proportional to 11,767.94, 17,652.92 and 3,002.83 is: 4,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.94 : 17,652.92 = 3,002.83 : x
  2. Step 2: Convert to fraction form
    11,767.94/17,652.92 = 3,002.83/x
  3. Step 3: Cross multiply
    11,767.94x = 17,652.92 × 3,002.83
  4. Step 4: Simplify right side
    11,767.94x = 53,008,629.50
  5. Step 5: Solve for x
    x = 53,008,629.50/11,767.94
  6. Step 6: Final answer
    x = 4,504.50

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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.