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Finding the Fourth Proportional to 8,260.83, 12,385.98 and 3,514.44

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Solution

The fourth proportional to 8,260.83, 12,385.98 and 3,514.44 is: 5,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.83 : 12,385.98 = 3,514.44 : x
  2. Step 2: Convert to fraction form
    8,260.83/12,385.98 = 3,514.44/x
  3. Step 3: Cross multiply
    8,260.83x = 12,385.98 × 3,514.44
  4. Step 4: Simplify right side
    8,260.83x = 43,529,783.55
  5. Step 5: Solve for x
    x = 43,529,783.55/8,260.83
  6. Step 6: Final answer
    x = 5,269.42

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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.