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Finding the Fourth Proportional to 8,060, 12,096.50 and 4,165.52

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Solution

The fourth proportional to 8,060, 12,096.50 and 4,165.52 is: 6,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,060 : 12,096.50 = 4,165.52 : x
  2. Step 2: Convert to fraction form
    8,060/12,096.50 = 4,165.52/x
  3. Step 3: Cross multiply
    8,060x = 12,096.50 × 4,165.52
  4. Step 4: Simplify right side
    8,060x = 50,388,212.68
  5. Step 5: Solve for x
    x = 50,388,212.68/8,060
  6. Step 6: Final answer
    x = 6,251.64

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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.