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Finding the Fourth Proportional to 11,744.60, 16,207.90 and 6,439.77

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Solution

The fourth proportional to 11,744.60, 16,207.90 and 6,439.77 is: 8,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.60 : 16,207.90 = 6,439.77 : x
  2. Step 2: Convert to fraction form
    11,744.60/16,207.90 = 6,439.77/x
  3. Step 3: Cross multiply
    11,744.60x = 16,207.90 × 6,439.77
  4. Step 4: Simplify right side
    11,744.60x = 104,375,132.08
  5. Step 5: Solve for x
    x = 104,375,132.08/11,744.60
  6. Step 6: Final answer
    x = 8,887.08

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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.