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Finding the Fourth Proportional to 8,315.10, 12,463.22 and 2,767.14

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Solution

The fourth proportional to 8,315.10, 12,463.22 and 2,767.14 is: 4,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.10 : 12,463.22 = 2,767.14 : x
  2. Step 2: Convert to fraction form
    8,315.10/12,463.22 = 2,767.14/x
  3. Step 3: Cross multiply
    8,315.10x = 12,463.22 × 2,767.14
  4. Step 4: Simplify right side
    8,315.10x = 34,487,474.59
  5. Step 5: Solve for x
    x = 34,487,474.59/8,315.10
  6. Step 6: Final answer
    x = 4,147.57

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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.