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Finding the Fourth Proportional to 11,757.05, 16,224.92 and 6,452.36

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Solution

The fourth proportional to 11,757.05, 16,224.92 and 6,452.36 is: 8,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.05 : 16,224.92 = 6,452.36 : x
  2. Step 2: Convert to fraction form
    11,757.05/16,224.92 = 6,452.36/x
  3. Step 3: Cross multiply
    11,757.05x = 16,224.92 × 6,452.36
  4. Step 4: Simplify right side
    11,757.05x = 104,688,943.69
  5. Step 5: Solve for x
    x = 104,688,943.69/11,757.05
  6. Step 6: Final answer
    x = 8,904.36

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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.