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Finding the Fourth Proportional to 6,762.74, 10,144.11 and 2,145.38

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Solution

The fourth proportional to 6,762.74, 10,144.11 and 2,145.38 is: 3,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.74 : 10,144.11 = 2,145.38 : x
  2. Step 2: Convert to fraction form
    6,762.74/10,144.11 = 2,145.38/x
  3. Step 3: Cross multiply
    6,762.74x = 10,144.11 × 2,145.38
  4. Step 4: Simplify right side
    6,762.74x = 21,762,909.26
  5. Step 5: Solve for x
    x = 21,762,909.26/6,762.74
  6. Step 6: Final answer
    x = 3,218.06

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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.