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Finding the Fourth Proportional to 8,302.83, 12,454.05 and 2,062.86

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Solution

The fourth proportional to 8,302.83, 12,454.05 and 2,062.86 is: 3,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.83 : 12,454.05 = 2,062.86 : x
  2. Step 2: Convert to fraction form
    8,302.83/12,454.05 = 2,062.86/x
  3. Step 3: Cross multiply
    8,302.83x = 12,454.05 × 2,062.86
  4. Step 4: Simplify right side
    8,302.83x = 25,690,961.58
  5. Step 5: Solve for x
    x = 25,690,961.58/8,302.83
  6. Step 6: Final answer
    x = 3,094.24

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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.