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Finding the Fourth Proportional to 10,684.86, 16,029.11 and 3,289.15

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Solution

The fourth proportional to 10,684.86, 16,029.11 and 3,289.15 is: 4,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.86 : 16,029.11 = 3,289.15 : x
  2. Step 2: Convert to fraction form
    10,684.86/16,029.11 = 3,289.15/x
  3. Step 3: Cross multiply
    10,684.86x = 16,029.11 × 3,289.15
  4. Step 4: Simplify right side
    10,684.86x = 52,722,147.16
  5. Step 5: Solve for x
    x = 52,722,147.16/10,684.86
  6. Step 6: Final answer
    x = 4,934.29

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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.