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Finding the Fourth Proportional to 8,482.11, 12,710.82 and 4,094.43

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Solution

The fourth proportional to 8,482.11, 12,710.82 and 4,094.43 is: 6,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.11 : 12,710.82 = 4,094.43 : x
  2. Step 2: Convert to fraction form
    8,482.11/12,710.82 = 4,094.43/x
  3. Step 3: Cross multiply
    8,482.11x = 12,710.82 × 4,094.43
  4. Step 4: Simplify right side
    8,482.11x = 52,043,562.73
  5. Step 5: Solve for x
    x = 52,043,562.73/8,482.11
  6. Step 6: Final answer
    x = 6,135.69

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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.