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Finding the Fourth Proportional to 8,503.14, 12,757.98 and 4,120.26

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Solution

The fourth proportional to 8,503.14, 12,757.98 and 4,120.26 is: 6,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.14 : 12,757.98 = 4,120.26 : x
  2. Step 2: Convert to fraction form
    8,503.14/12,757.98 = 4,120.26/x
  3. Step 3: Cross multiply
    8,503.14x = 12,757.98 × 4,120.26
  4. Step 4: Simplify right side
    8,503.14x = 52,566,194.67
  5. Step 5: Solve for x
    x = 52,566,194.67/8,503.14
  6. Step 6: Final answer
    x = 6,181.97

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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.