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Finding the Fourth Proportional to 8,159.92, 12,234.96 and 4,456.99

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Solution

The fourth proportional to 8,159.92, 12,234.96 and 4,456.99 is: 6,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.92 : 12,234.96 = 4,456.99 : x
  2. Step 2: Convert to fraction form
    8,159.92/12,234.96 = 4,456.99/x
  3. Step 3: Cross multiply
    8,159.92x = 12,234.96 × 4,456.99
  4. Step 4: Simplify right side
    8,159.92x = 54,531,094.37
  5. Step 5: Solve for x
    x = 54,531,094.37/8,159.92
  6. Step 6: Final answer
    x = 6,682.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.