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Finding the Fourth Proportional to 11,763.28, 16,232.86 and 6,727.24

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Solution

The fourth proportional to 11,763.28, 16,232.86 and 6,727.24 is: 9,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.28 : 16,232.86 = 6,727.24 : x
  2. Step 2: Convert to fraction form
    11,763.28/16,232.86 = 6,727.24/x
  3. Step 3: Cross multiply
    11,763.28x = 16,232.86 × 6,727.24
  4. Step 4: Simplify right side
    11,763.28x = 109,202,345.11
  5. Step 5: Solve for x
    x = 109,202,345.11/11,763.28
  6. Step 6: Final answer
    x = 9,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.