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Finding the Fourth Proportional to 8,056.97, 12,085.50 and 2,213.63

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Solution

The fourth proportional to 8,056.97, 12,085.50 and 2,213.63 is: 3,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.97 : 12,085.50 = 2,213.63 : x
  2. Step 2: Convert to fraction form
    8,056.97/12,085.50 = 2,213.63/x
  3. Step 3: Cross multiply
    8,056.97x = 12,085.50 × 2,213.63
  4. Step 4: Simplify right side
    8,056.97x = 26,752,818.56
  5. Step 5: Solve for x
    x = 26,752,818.56/8,056.97
  6. Step 6: Final answer
    x = 3,320.46

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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.