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Finding the Fourth Proportional to 8,195.70, 12,288.80 and 4,026.62

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Solution

The fourth proportional to 8,195.70, 12,288.80 and 4,026.62 is: 6,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.70 : 12,288.80 = 4,026.62 : x
  2. Step 2: Convert to fraction form
    8,195.70/12,288.80 = 4,026.62/x
  3. Step 3: Cross multiply
    8,195.70x = 12,288.80 × 4,026.62
  4. Step 4: Simplify right side
    8,195.70x = 49,482,327.86
  5. Step 5: Solve for x
    x = 49,482,327.86/8,195.70
  6. Step 6: Final answer
    x = 6,037.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.