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Finding the Fourth Proportional to 11,866.19, 17,799.24 and 4,849.49

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Solution

The fourth proportional to 11,866.19, 17,799.24 and 4,849.49 is: 7,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.19 : 17,799.24 = 4,849.49 : x
  2. Step 2: Convert to fraction form
    11,866.19/17,799.24 = 4,849.49/x
  3. Step 3: Cross multiply
    11,866.19x = 17,799.24 × 4,849.49
  4. Step 4: Simplify right side
    11,866.19x = 86,317,147.39
  5. Step 5: Solve for x
    x = 86,317,147.39/11,866.19
  6. Step 6: Final answer
    x = 7,274.21

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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.