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Finding the Fourth Proportional to 10,241.77, 14,134.86 and 6,263.44

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Solution

The fourth proportional to 10,241.77, 14,134.86 and 6,263.44 is: 8,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.77 : 14,134.86 = 6,263.44 : x
  2. Step 2: Convert to fraction form
    10,241.77/14,134.86 = 6,263.44/x
  3. Step 3: Cross multiply
    10,241.77x = 14,134.86 × 6,263.44
  4. Step 4: Simplify right side
    10,241.77x = 88,532,847.52
  5. Step 5: Solve for x
    x = 88,532,847.52/10,241.77
  6. Step 6: Final answer
    x = 8,644.29

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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.