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Finding the Fourth Proportional to 8,037, 12,053.64 and 2,194.05

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Solution

The fourth proportional to 8,037, 12,053.64 and 2,194.05 is: 3,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 12,053.64 = 2,194.05 : x
  2. Step 2: Convert to fraction form
    8,037/12,053.64 = 2,194.05/x
  3. Step 3: Cross multiply
    8,037x = 12,053.64 × 2,194.05
  4. Step 4: Simplify right side
    8,037x = 26,446,288.84
  5. Step 5: Solve for x
    x = 26,446,288.84/8,037
  6. Step 6: Final answer
    x = 3,290.57

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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.