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Finding the Fourth Proportional to 11,756.72, 16,223.76 and 6,451.44

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Solution

The fourth proportional to 11,756.72, 16,223.76 and 6,451.44 is: 8,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.72 : 16,223.76 = 6,451.44 : x
  2. Step 2: Convert to fraction form
    11,756.72/16,223.76 = 6,451.44/x
  3. Step 3: Cross multiply
    11,756.72x = 16,223.76 × 6,451.44
  4. Step 4: Simplify right side
    11,756.72x = 104,666,614.21
  5. Step 5: Solve for x
    x = 104,666,614.21/11,756.72
  6. Step 6: Final answer
    x = 8,902.71

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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.