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Finding the Fourth Proportional to 10,921.65, 15,072.42 and 6,143.10

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Solution

The fourth proportional to 10,921.65, 15,072.42 and 6,143.10 is: 8,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.65 : 15,072.42 = 6,143.10 : x
  2. Step 2: Convert to fraction form
    10,921.65/15,072.42 = 6,143.10/x
  3. Step 3: Cross multiply
    10,921.65x = 15,072.42 × 6,143.10
  4. Step 4: Simplify right side
    10,921.65x = 92,591,383.30
  5. Step 5: Solve for x
    x = 92,591,383.30/10,921.65
  6. Step 6: Final answer
    x = 8,477.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.