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Finding the Fourth Proportional to 8,194.52, 12,291.72 and 2,038.52

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Solution

The fourth proportional to 8,194.52, 12,291.72 and 2,038.52 is: 3,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.52 : 12,291.72 = 2,038.52 : x
  2. Step 2: Convert to fraction form
    8,194.52/12,291.72 = 2,038.52/x
  3. Step 3: Cross multiply
    8,194.52x = 12,291.72 × 2,038.52
  4. Step 4: Simplify right side
    8,194.52x = 25,056,917.05
  5. Step 5: Solve for x
    x = 25,056,917.05/8,194.52
  6. Step 6: Final answer
    x = 3,057.77

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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.