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Finding the Fourth Proportional to 8,519.98, 11,757.64 and 4,982.48

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Solution

The fourth proportional to 8,519.98, 11,757.64 and 4,982.48 is: 6,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.98 : 11,757.64 = 4,982.48 : x
  2. Step 2: Convert to fraction form
    8,519.98/11,757.64 = 4,982.48/x
  3. Step 3: Cross multiply
    8,519.98x = 11,757.64 × 4,982.48
  4. Step 4: Simplify right side
    8,519.98x = 58,582,206.15
  5. Step 5: Solve for x
    x = 58,582,206.15/8,519.98
  6. Step 6: Final answer
    x = 6,875.86

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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.