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Finding the Fourth Proportional to 7,896.73, 11,844.15 and 6,143.49

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Solution

The fourth proportional to 7,896.73, 11,844.15 and 6,143.49 is: 9,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.73 : 11,844.15 = 6,143.49 : x
  2. Step 2: Convert to fraction form
    7,896.73/11,844.15 = 6,143.49/x
  3. Step 3: Cross multiply
    7,896.73x = 11,844.15 × 6,143.49
  4. Step 4: Simplify right side
    7,896.73x = 72,764,417.08
  5. Step 5: Solve for x
    x = 72,764,417.08/7,896.73
  6. Step 6: Final answer
    x = 9,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.