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Finding the Fourth Proportional to 10,163.84, 15,242.34 and 3,408.06

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Solution

The fourth proportional to 10,163.84, 15,242.34 and 3,408.06 is: 5,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.84 : 15,242.34 = 3,408.06 : x
  2. Step 2: Convert to fraction form
    10,163.84/15,242.34 = 3,408.06/x
  3. Step 3: Cross multiply
    10,163.84x = 15,242.34 × 3,408.06
  4. Step 4: Simplify right side
    10,163.84x = 51,946,809.26
  5. Step 5: Solve for x
    x = 51,946,809.26/10,163.84
  6. Step 6: Final answer
    x = 5,110.94

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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.