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Finding the Fourth Proportional to 11,756.92, 16,224.75 and 6,452.23

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Solution

The fourth proportional to 11,756.92, 16,224.75 and 6,452.23 is: 8,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.92 : 16,224.75 = 6,452.23 : x
  2. Step 2: Convert to fraction form
    11,756.92/16,224.75 = 6,452.23/x
  3. Step 3: Cross multiply
    11,756.92x = 16,224.75 × 6,452.23
  4. Step 4: Simplify right side
    11,756.92x = 104,685,790.41
  5. Step 5: Solve for x
    x = 104,685,790.41/11,756.92
  6. Step 6: Final answer
    x = 8,904.19

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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.