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Finding the Fourth Proportional to 11,837.27, 16,335.86 and 6,801.63

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Solution

The fourth proportional to 11,837.27, 16,335.86 and 6,801.63 is: 9,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.27 : 16,335.86 = 6,801.63 : x
  2. Step 2: Convert to fraction form
    11,837.27/16,335.86 = 6,801.63/x
  3. Step 3: Cross multiply
    11,837.27x = 16,335.86 × 6,801.63
  4. Step 4: Simplify right side
    11,837.27x = 111,110,441.44
  5. Step 5: Solve for x
    x = 111,110,441.44/11,837.27
  6. Step 6: Final answer
    x = 9,386.50

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