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Finding the Fourth Proportional to 11,837.52, 16,335.64 and 6,532.22

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Solution

The fourth proportional to 11,837.52, 16,335.64 and 6,532.22 is: 9,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.52 : 16,335.64 = 6,532.22 : x
  2. Step 2: Convert to fraction form
    11,837.52/16,335.64 = 6,532.22/x
  3. Step 3: Cross multiply
    11,837.52x = 16,335.64 × 6,532.22
  4. Step 4: Simplify right side
    11,837.52x = 106,707,961.66
  5. Step 5: Solve for x
    x = 106,707,961.66/11,837.52
  6. Step 6: Final answer
    x = 9,014.38

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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.