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Finding the Fourth Proportional to 6,820.84, 10,221.50 and 5,427.90

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Solution

The fourth proportional to 6,820.84, 10,221.50 and 5,427.90 is: 8,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.84 : 10,221.50 = 5,427.90 : x
  2. Step 2: Convert to fraction form
    6,820.84/10,221.50 = 5,427.90/x
  3. Step 3: Cross multiply
    6,820.84x = 10,221.50 × 5,427.90
  4. Step 4: Simplify right side
    6,820.84x = 55,481,279.85
  5. Step 5: Solve for x
    x = 55,481,279.85/6,820.84
  6. Step 6: Final answer
    x = 8,134.08

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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.