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Finding the Fourth Proportional to 6,805.19, 10,213.94 and 3,520.59

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Solution

The fourth proportional to 6,805.19, 10,213.94 and 3,520.59 is: 5,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.19 : 10,213.94 = 3,520.59 : x
  2. Step 2: Convert to fraction form
    6,805.19/10,213.94 = 3,520.59/x
  3. Step 3: Cross multiply
    6,805.19x = 10,213.94 × 3,520.59
  4. Step 4: Simplify right side
    6,805.19x = 35,959,095.02
  5. Step 5: Solve for x
    x = 35,959,095.02/6,805.19
  6. Step 6: Final answer
    x = 5,284.07

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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.