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Finding the Fourth Proportional to 8,096.50, 12,144.18 and 2,253.16

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Solution

The fourth proportional to 8,096.50, 12,144.18 and 2,253.16 is: 3,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.50 : 12,144.18 = 2,253.16 : x
  2. Step 2: Convert to fraction form
    8,096.50/12,144.18 = 2,253.16/x
  3. Step 3: Cross multiply
    8,096.50x = 12,144.18 × 2,253.16
  4. Step 4: Simplify right side
    8,096.50x = 27,362,780.61
  5. Step 5: Solve for x
    x = 27,362,780.61/8,096.50
  6. Step 6: Final answer
    x = 3,379.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.