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Finding the Fourth Proportional to 10,121, 15,186.19 and 3,878.92

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Solution

The fourth proportional to 10,121, 15,186.19 and 3,878.92 is: 5,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121 : 15,186.19 = 3,878.92 : x
  2. Step 2: Convert to fraction form
    10,121/15,186.19 = 3,878.92/x
  3. Step 3: Cross multiply
    10,121x = 15,186.19 × 3,878.92
  4. Step 4: Simplify right side
    10,121x = 58,906,016.11
  5. Step 5: Solve for x
    x = 58,906,016.11/10,121
  6. Step 6: Final answer
    x = 5,820.18

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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.