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Finding the Fourth Proportional to 6,817.50, 10,166.58 and 6,755.22

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Solution

The fourth proportional to 6,817.50, 10,166.58 and 6,755.22 is: 10,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.50 : 10,166.58 = 6,755.22 : x
  2. Step 2: Convert to fraction form
    6,817.50/10,166.58 = 6,755.22/x
  3. Step 3: Cross multiply
    6,817.50x = 10,166.58 × 6,755.22
  4. Step 4: Simplify right side
    6,817.50x = 68,677,484.55
  5. Step 5: Solve for x
    x = 68,677,484.55/6,817.50
  6. Step 6: Final answer
    x = 10,073.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.