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Finding the Fourth Proportional to 8,405.20, 12,604.15 and 2,857.05

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Solution

The fourth proportional to 8,405.20, 12,604.15 and 2,857.05 is: 4,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.20 : 12,604.15 = 2,857.05 : x
  2. Step 2: Convert to fraction form
    8,405.20/12,604.15 = 2,857.05/x
  3. Step 3: Cross multiply
    8,405.20x = 12,604.15 × 2,857.05
  4. Step 4: Simplify right side
    8,405.20x = 36,010,672.47
  5. Step 5: Solve for x
    x = 36,010,672.47/8,405.20
  6. Step 6: Final answer
    x = 4,284.34

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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.