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Finding the Fourth Proportional to 6,805.54, 10,212.66 and 4,342.12

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Solution

The fourth proportional to 6,805.54, 10,212.66 and 4,342.12 is: 6,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.54 : 10,212.66 = 4,342.12 : x
  2. Step 2: Convert to fraction form
    6,805.54/10,212.66 = 4,342.12/x
  3. Step 3: Cross multiply
    6,805.54x = 10,212.66 × 4,342.12
  4. Step 4: Simplify right side
    6,805.54x = 44,344,595.24
  5. Step 5: Solve for x
    x = 44,344,595.24/6,805.54
  6. Step 6: Final answer
    x = 6,515.96

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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.