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Finding the Fourth Proportional to 11,448.04, 17,168.34 and 3,655

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Solution

The fourth proportional to 11,448.04, 17,168.34 and 3,655 is: 5,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.04 : 17,168.34 = 3,655 : x
  2. Step 2: Convert to fraction form
    11,448.04/17,168.34 = 3,655/x
  3. Step 3: Cross multiply
    11,448.04x = 17,168.34 × 3,655
  4. Step 4: Simplify right side
    11,448.04x = 62,750,282.70
  5. Step 5: Solve for x
    x = 62,750,282.70/11,448.04
  6. Step 6: Final answer
    x = 5,481.31

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