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Finding the Fourth Proportional to 8,037.74, 12,056.54 and 2,194.34

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Solution

The fourth proportional to 8,037.74, 12,056.54 and 2,194.34 is: 3,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.74 : 12,056.54 = 2,194.34 : x
  2. Step 2: Convert to fraction form
    8,037.74/12,056.54 = 2,194.34/x
  3. Step 3: Cross multiply
    8,037.74x = 12,056.54 × 2,194.34
  4. Step 4: Simplify right side
    8,037.74x = 26,456,147.98
  5. Step 5: Solve for x
    x = 26,456,147.98/8,037.74
  6. Step 6: Final answer
    x = 3,291.49

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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.