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Finding the Fourth Proportional to 8,194.76, 11,308.75 and 4,468.76

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Solution

The fourth proportional to 8,194.76, 11,308.75 and 4,468.76 is: 6,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.76 : 11,308.75 = 4,468.76 : x
  2. Step 2: Convert to fraction form
    8,194.76/11,308.75 = 4,468.76/x
  3. Step 3: Cross multiply
    8,194.76x = 11,308.75 × 4,468.76
  4. Step 4: Simplify right side
    8,194.76x = 50,536,089.65
  5. Step 5: Solve for x
    x = 50,536,089.65/8,194.76
  6. Step 6: Final answer
    x = 6,166.88

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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.