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Finding the Fourth Proportional to 11,843.91, 16,344.72 and 6,538.72

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Solution

The fourth proportional to 11,843.91, 16,344.72 and 6,538.72 is: 9,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.91 : 16,344.72 = 6,538.72 : x
  2. Step 2: Convert to fraction form
    11,843.91/16,344.72 = 6,538.72/x
  3. Step 3: Cross multiply
    11,843.91x = 16,344.72 × 6,538.72
  4. Step 4: Simplify right side
    11,843.91x = 106,873,547.56
  5. Step 5: Solve for x
    x = 106,873,547.56/11,843.91
  6. Step 6: Final answer
    x = 9,023.50

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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.