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Finding the Fourth Proportional to 11,756.91, 16,224.49 and 6,451.82

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Solution

The fourth proportional to 11,756.91, 16,224.49 and 6,451.82 is: 8,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.91 : 16,224.49 = 6,451.82 : x
  2. Step 2: Convert to fraction form
    11,756.91/16,224.49 = 6,451.82/x
  3. Step 3: Cross multiply
    11,756.91x = 16,224.49 × 6,451.82
  4. Step 4: Simplify right side
    11,756.91x = 104,677,391.82
  5. Step 5: Solve for x
    x = 104,677,391.82/11,756.91
  6. Step 6: Final answer
    x = 8,903.48

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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.