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Finding the Fourth Proportional to 12,118.46, 16,723.17 and 6,813.27

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Solution

The fourth proportional to 12,118.46, 16,723.17 and 6,813.27 is: 9,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.46 : 16,723.17 = 6,813.27 : x
  2. Step 2: Convert to fraction form
    12,118.46/16,723.17 = 6,813.27/x
  3. Step 3: Cross multiply
    12,118.46x = 16,723.17 × 6,813.27
  4. Step 4: Simplify right side
    12,118.46x = 113,939,472.47
  5. Step 5: Solve for x
    x = 113,939,472.47/12,118.46
  6. Step 6: Final answer
    x = 9,402.15

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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.