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Finding the Fourth Proportional to 11,448.56, 15,797.04 and 6,733.73

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Solution

The fourth proportional to 11,448.56, 15,797.04 and 6,733.73 is: 9,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.56 : 15,797.04 = 6,733.73 : x
  2. Step 2: Convert to fraction form
    11,448.56/15,797.04 = 6,733.73/x
  3. Step 3: Cross multiply
    11,448.56x = 15,797.04 × 6,733.73
  4. Step 4: Simplify right side
    11,448.56x = 106,373,002.16
  5. Step 5: Solve for x
    x = 106,373,002.16/11,448.56
  6. Step 6: Final answer
    x = 9,291.39

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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.