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Finding the Fourth Proportional to 11,618.27, 16,033.31 and 6,313.08

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Solution

The fourth proportional to 11,618.27, 16,033.31 and 6,313.08 is: 8,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.27 : 16,033.31 = 6,313.08 : x
  2. Step 2: Convert to fraction form
    11,618.27/16,033.31 = 6,313.08/x
  3. Step 3: Cross multiply
    11,618.27x = 16,033.31 × 6,313.08
  4. Step 4: Simplify right side
    11,618.27x = 101,219,620.93
  5. Step 5: Solve for x
    x = 101,219,620.93/11,618.27
  6. Step 6: Final answer
    x = 8,712.11

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Why These Related Problems?

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