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Finding the Fourth Proportional to 10,843.66, 16,249.87 and 6,390.82

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Solution

The fourth proportional to 10,843.66, 16,249.87 and 6,390.82 is: 9,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.66 : 16,249.87 = 6,390.82 : x
  2. Step 2: Convert to fraction form
    10,843.66/16,249.87 = 6,390.82/x
  3. Step 3: Cross multiply
    10,843.66x = 16,249.87 × 6,390.82
  4. Step 4: Simplify right side
    10,843.66x = 103,849,994.19
  5. Step 5: Solve for x
    x = 103,849,994.19/10,843.66
  6. Step 6: Final answer
    x = 9,577.02

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Why These Related Problems?

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