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Finding the Fourth Proportional to 8,471.62, 12,700.14 and 4,092.13

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Solution

The fourth proportional to 8,471.62, 12,700.14 and 4,092.13 is: 6,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.62 : 12,700.14 = 4,092.13 : x
  2. Step 2: Convert to fraction form
    8,471.62/12,700.14 = 4,092.13/x
  3. Step 3: Cross multiply
    8,471.62x = 12,700.14 × 4,092.13
  4. Step 4: Simplify right side
    8,471.62x = 51,970,623.90
  5. Step 5: Solve for x
    x = 51,970,623.90/8,471.62
  6. Step 6: Final answer
    x = 6,134.67

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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.