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Finding the Fourth Proportional to 7,882.88, 11,816.09 and 3,201.02

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Solution

The fourth proportional to 7,882.88, 11,816.09 and 3,201.02 is: 4,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 11,816.09 = 3,201.02 : x
  2. Step 2: Convert to fraction form
    7,882.88/11,816.09 = 3,201.02/x
  3. Step 3: Cross multiply
    7,882.88x = 11,816.09 × 3,201.02
  4. Step 4: Simplify right side
    7,882.88x = 37,823,465.33
  5. Step 5: Solve for x
    x = 37,823,465.33/7,882.88
  6. Step 6: Final answer
    x = 4,798.18

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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.