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Finding the Fourth Proportional to 10,134.66, 15,199.11 and 3,894.24

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Solution

The fourth proportional to 10,134.66, 15,199.11 and 3,894.24 is: 5,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.66 : 15,199.11 = 3,894.24 : x
  2. Step 2: Convert to fraction form
    10,134.66/15,199.11 = 3,894.24/x
  3. Step 3: Cross multiply
    10,134.66x = 15,199.11 × 3,894.24
  4. Step 4: Simplify right side
    10,134.66x = 59,188,982.13
  5. Step 5: Solve for x
    x = 59,188,982.13/10,134.66
  6. Step 6: Final answer
    x = 5,840.25

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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.