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Finding the Fourth Proportional to 8,499.84, 12,757.87 and 5,219.34

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Solution

The fourth proportional to 8,499.84, 12,757.87 and 5,219.34 is: 7,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.84 : 12,757.87 = 5,219.34 : x
  2. Step 2: Convert to fraction form
    8,499.84/12,757.87 = 5,219.34/x
  3. Step 3: Cross multiply
    8,499.84x = 12,757.87 × 5,219.34
  4. Step 4: Simplify right side
    8,499.84x = 66,587,661.21
  5. Step 5: Solve for x
    x = 66,587,661.21/8,499.84
  6. Step 6: Final answer
    x = 7,833.99

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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.