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Finding the Fourth Proportional to 6,764.50, 10,142.70 and 2,810.99

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Solution

The fourth proportional to 6,764.50, 10,142.70 and 2,810.99 is: 4,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.50 : 10,142.70 = 2,810.99 : x
  2. Step 2: Convert to fraction form
    6,764.50/10,142.70 = 2,810.99/x
  3. Step 3: Cross multiply
    6,764.50x = 10,142.70 × 2,810.99
  4. Step 4: Simplify right side
    6,764.50x = 28,511,028.27
  5. Step 5: Solve for x
    x = 28,511,028.27/6,764.50
  6. Step 6: Final answer
    x = 4,214.80

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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.