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Finding the Fourth Proportional to 11,844.44, 16,345.11 and 6,539.14

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Solution

The fourth proportional to 11,844.44, 16,345.11 and 6,539.14 is: 9,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.44 : 16,345.11 = 6,539.14 : x
  2. Step 2: Convert to fraction form
    11,844.44/16,345.11 = 6,539.14/x
  3. Step 3: Cross multiply
    11,844.44x = 16,345.11 × 6,539.14
  4. Step 4: Simplify right side
    11,844.44x = 106,882,962.61
  5. Step 5: Solve for x
    x = 106,882,962.61/11,844.44
  6. Step 6: Final answer
    x = 9,023.89

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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.