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Finding the Fourth Proportional to 11,669.70, 16,103.43 and 6,364.20

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Solution

The fourth proportional to 11,669.70, 16,103.43 and 6,364.20 is: 8,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.70 : 16,103.43 = 6,364.20 : x
  2. Step 2: Convert to fraction form
    11,669.70/16,103.43 = 6,364.20/x
  3. Step 3: Cross multiply
    11,669.70x = 16,103.43 × 6,364.20
  4. Step 4: Simplify right side
    11,669.70x = 102,485,449.21
  5. Step 5: Solve for x
    x = 102,485,449.21/11,669.70
  6. Step 6: Final answer
    x = 8,782.18

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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.