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Finding the Fourth Proportional to 8,053.50, 12,081.15 and 7,226.70

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Solution

The fourth proportional to 8,053.50, 12,081.15 and 7,226.70 is: 10,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.50 : 12,081.15 = 7,226.70 : x
  2. Step 2: Convert to fraction form
    8,053.50/12,081.15 = 7,226.70/x
  3. Step 3: Cross multiply
    8,053.50x = 12,081.15 × 7,226.70
  4. Step 4: Simplify right side
    8,053.50x = 87,306,846.71
  5. Step 5: Solve for x
    x = 87,306,846.71/8,053.50
  6. Step 6: Final answer
    x = 10,840.86

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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.