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Finding the Fourth Proportional to 11,627.39, 16,045.92 and 6,322.08

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Solution

The fourth proportional to 11,627.39, 16,045.92 and 6,322.08 is: 8,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.39 : 16,045.92 = 6,322.08 : x
  2. Step 2: Convert to fraction form
    11,627.39/16,045.92 = 6,322.08/x
  3. Step 3: Cross multiply
    11,627.39x = 16,045.92 × 6,322.08
  4. Step 4: Simplify right side
    11,627.39x = 101,443,589.91
  5. Step 5: Solve for x
    x = 101,443,589.91/11,627.39
  6. Step 6: Final answer
    x = 8,724.54

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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.