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Finding the Fourth Proportional to 8,231.94, 11,360.68 and 4,695.24

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Solution

The fourth proportional to 8,231.94, 11,360.68 and 4,695.24 is: 6,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.94 : 11,360.68 = 4,695.24 : x
  2. Step 2: Convert to fraction form
    8,231.94/11,360.68 = 4,695.24/x
  3. Step 3: Cross multiply
    8,231.94x = 11,360.68 × 4,695.24
  4. Step 4: Simplify right side
    8,231.94x = 53,341,119.16
  5. Step 5: Solve for x
    x = 53,341,119.16/8,231.94
  6. Step 6: Final answer
    x = 6,479.78

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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.