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Finding the Fourth Proportional to 10,827.70, 16,241.52 and 4,249.28

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Solution

The fourth proportional to 10,827.70, 16,241.52 and 4,249.28 is: 6,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.70 : 16,241.52 = 4,249.28 : x
  2. Step 2: Convert to fraction form
    10,827.70/16,241.52 = 4,249.28/x
  3. Step 3: Cross multiply
    10,827.70x = 16,241.52 × 4,249.28
  4. Step 4: Simplify right side
    10,827.70x = 69,014,790.77
  5. Step 5: Solve for x
    x = 69,014,790.77/10,827.70
  6. Step 6: Final answer
    x = 6,373.91

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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.