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Finding the Fourth Proportional to 6,812.66, 10,205.16 and 6,245.66

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Solution

The fourth proportional to 6,812.66, 10,205.16 and 6,245.66 is: 9,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.66 : 10,205.16 = 6,245.66 : x
  2. Step 2: Convert to fraction form
    6,812.66/10,205.16 = 6,245.66/x
  3. Step 3: Cross multiply
    6,812.66x = 10,205.16 × 6,245.66
  4. Step 4: Simplify right side
    6,812.66x = 63,737,959.61
  5. Step 5: Solve for x
    x = 63,737,959.61/6,812.66
  6. Step 6: Final answer
    x = 9,355.81

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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.