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Finding the Fourth Proportional to 11,756.29, 17,593.23 and 8,428.20

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Solution

The fourth proportional to 11,756.29, 17,593.23 and 8,428.20 is: 12,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.29 : 17,593.23 = 8,428.20 : x
  2. Step 2: Convert to fraction form
    11,756.29/17,593.23 = 8,428.20/x
  3. Step 3: Cross multiply
    11,756.29x = 17,593.23 × 8,428.20
  4. Step 4: Simplify right side
    11,756.29x = 148,279,261.09
  5. Step 5: Solve for x
    x = 148,279,261.09/11,756.29
  6. Step 6: Final answer
    x = 12,612.76

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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.