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Finding the Fourth Proportional to 10,640.83, 15,943.68 and 6,186

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Solution

The fourth proportional to 10,640.83, 15,943.68 and 6,186 is: 9,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.83 : 15,943.68 = 6,186 : x
  2. Step 2: Convert to fraction form
    10,640.83/15,943.68 = 6,186/x
  3. Step 3: Cross multiply
    10,640.83x = 15,943.68 × 6,186
  4. Step 4: Simplify right side
    10,640.83x = 98,627,604.48
  5. Step 5: Solve for x
    x = 98,627,604.48/10,640.83
  6. Step 6: Final answer
    x = 9,268.79

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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.