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Finding the Fourth Proportional to 8,018.50, 12,029.32 and 2,470.88

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Solution

The fourth proportional to 8,018.50, 12,029.32 and 2,470.88 is: 3,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.50 : 12,029.32 = 2,470.88 : x
  2. Step 2: Convert to fraction form
    8,018.50/12,029.32 = 2,470.88/x
  3. Step 3: Cross multiply
    8,018.50x = 12,029.32 × 2,470.88
  4. Step 4: Simplify right side
    8,018.50x = 29,723,006.20
  5. Step 5: Solve for x
    x = 29,723,006.20/8,018.50
  6. Step 6: Final answer
    x = 3,706.80

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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.