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Finding the Fourth Proportional to 8,057.34, 12,085.88 and 2,213.93

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Solution

The fourth proportional to 8,057.34, 12,085.88 and 2,213.93 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.34 : 12,085.88 = 2,213.93 : x
  2. Step 2: Convert to fraction form
    8,057.34/12,085.88 = 2,213.93/x
  3. Step 3: Cross multiply
    8,057.34x = 12,085.88 × 2,213.93
  4. Step 4: Simplify right side
    8,057.34x = 26,757,311.45
  5. Step 5: Solve for x
    x = 26,757,311.45/8,057.34
  6. Step 6: Final answer
    x = 3,320.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.