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Finding the Fourth Proportional to 11,122.99, 16,684.49 and 6,502.75

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Solution

The fourth proportional to 11,122.99, 16,684.49 and 6,502.75 is: 9,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.99 : 16,684.49 = 6,502.75 : x
  2. Step 2: Convert to fraction form
    11,122.99/16,684.49 = 6,502.75/x
  3. Step 3: Cross multiply
    11,122.99x = 16,684.49 × 6,502.75
  4. Step 4: Simplify right side
    11,122.99x = 108,495,067.35
  5. Step 5: Solve for x
    x = 108,495,067.35/11,122.99
  6. Step 6: Final answer
    x = 9,754.13

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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.