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Finding the Fourth Proportional to 10,711.26, 14,773.23 and 8,187.03

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Solution

The fourth proportional to 10,711.26, 14,773.23 and 8,187.03 is: 11,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.26 : 14,773.23 = 8,187.03 : x
  2. Step 2: Convert to fraction form
    10,711.26/14,773.23 = 8,187.03/x
  3. Step 3: Cross multiply
    10,711.26x = 14,773.23 × 8,187.03
  4. Step 4: Simplify right side
    10,711.26x = 120,948,877.21
  5. Step 5: Solve for x
    x = 120,948,877.21/10,711.26
  6. Step 6: Final answer
    x = 11,291.75

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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.