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Finding the Fourth Proportional to 10,168.14, 15,261.84 and 5,241.18

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Solution

The fourth proportional to 10,168.14, 15,261.84 and 5,241.18 is: 7,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.14 : 15,261.84 = 5,241.18 : x
  2. Step 2: Convert to fraction form
    10,168.14/15,261.84 = 5,241.18/x
  3. Step 3: Cross multiply
    10,168.14x = 15,261.84 × 5,241.18
  4. Step 4: Simplify right side
    10,168.14x = 79,990,050.57
  5. Step 5: Solve for x
    x = 79,990,050.57/10,168.14
  6. Step 6: Final answer
    x = 7,866.73

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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.