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Finding the Fourth Proportional to 8,052.62, 12,078.45 and 4,102.65

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Solution

The fourth proportional to 8,052.62, 12,078.45 and 4,102.65 is: 6,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.62 : 12,078.45 = 4,102.65 : x
  2. Step 2: Convert to fraction form
    8,052.62/12,078.45 = 4,102.65/x
  3. Step 3: Cross multiply
    8,052.62x = 12,078.45 × 4,102.65
  4. Step 4: Simplify right side
    8,052.62x = 49,553,652.89
  5. Step 5: Solve for x
    x = 49,553,652.89/8,052.62
  6. Step 6: Final answer
    x = 6,153.73

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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.