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Finding the Fourth Proportional to 8,096.10, 12,143.72 and 2,252.76

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Solution

The fourth proportional to 8,096.10, 12,143.72 and 2,252.76 is: 3,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.10 : 12,143.72 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    8,096.10/12,143.72 = 2,252.76/x
  3. Step 3: Cross multiply
    8,096.10x = 12,143.72 × 2,252.76
  4. Step 4: Simplify right side
    8,096.10x = 27,356,886.67
  5. Step 5: Solve for x
    x = 27,356,886.67/8,096.10
  6. Step 6: Final answer
    x = 3,379.02

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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.