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Finding the Fourth Proportional to 10,844.43, 16,249.64 and 6,459.50

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Solution

The fourth proportional to 10,844.43, 16,249.64 and 6,459.50 is: 9,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.43 : 16,249.64 = 6,459.50 : x
  2. Step 2: Convert to fraction form
    10,844.43/16,249.64 = 6,459.50/x
  3. Step 3: Cross multiply
    10,844.43x = 16,249.64 × 6,459.50
  4. Step 4: Simplify right side
    10,844.43x = 104,964,436.03
  5. Step 5: Solve for x
    x = 104,964,436.03/10,844.43
  6. Step 6: Final answer
    x = 9,679.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.