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Finding the Fourth Proportional to 8,362.76, 11,514.30 and 6,366.92

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Solution

The fourth proportional to 8,362.76, 11,514.30 and 6,366.92 is: 8,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.76 : 11,514.30 = 6,366.92 : x
  2. Step 2: Convert to fraction form
    8,362.76/11,514.30 = 6,366.92/x
  3. Step 3: Cross multiply
    8,362.76x = 11,514.30 × 6,366.92
  4. Step 4: Simplify right side
    8,362.76x = 73,310,626.96
  5. Step 5: Solve for x
    x = 73,310,626.96/8,362.76
  6. Step 6: Final answer
    x = 8,766.32

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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.