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Finding the Fourth Proportional to 10,813.86, 16,207.76 and 7,067.41

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Solution

The fourth proportional to 10,813.86, 16,207.76 and 7,067.41 is: 10,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.86 : 16,207.76 = 7,067.41 : x
  2. Step 2: Convert to fraction form
    10,813.86/16,207.76 = 7,067.41/x
  3. Step 3: Cross multiply
    10,813.86x = 16,207.76 × 7,067.41
  4. Step 4: Simplify right side
    10,813.86x = 114,546,862.25
  5. Step 5: Solve for x
    x = 114,546,862.25/10,813.86
  6. Step 6: Final answer
    x = 10,592.60

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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.