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Finding the Fourth Proportional to 8,180.50, 12,270.06 and 3,248.81

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Solution

The fourth proportional to 8,180.50, 12,270.06 and 3,248.81 is: 4,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.50 : 12,270.06 = 3,248.81 : x
  2. Step 2: Convert to fraction form
    8,180.50/12,270.06 = 3,248.81/x
  3. Step 3: Cross multiply
    8,180.50x = 12,270.06 × 3,248.81
  4. Step 4: Simplify right side
    8,180.50x = 39,863,077.38
  5. Step 5: Solve for x
    x = 39,863,077.38/8,180.50
  6. Step 6: Final answer
    x = 4,872.94

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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.