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Finding the Fourth Proportional to 6,762.72, 10,147.28 and 2,381.16

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Solution

The fourth proportional to 6,762.72, 10,147.28 and 2,381.16 is: 3,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.72 : 10,147.28 = 2,381.16 : x
  2. Step 2: Convert to fraction form
    6,762.72/10,147.28 = 2,381.16/x
  3. Step 3: Cross multiply
    6,762.72x = 10,147.28 × 2,381.16
  4. Step 4: Simplify right side
    6,762.72x = 24,162,297.24
  5. Step 5: Solve for x
    x = 24,162,297.24/6,762.72
  6. Step 6: Final answer
    x = 3,572.87

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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.