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Finding the Fourth Proportional to 8,405.21, 12,604.17 and 2,857.07

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Solution

The fourth proportional to 8,405.21, 12,604.17 and 2,857.07 is: 4,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.21 : 12,604.17 = 2,857.07 : x
  2. Step 2: Convert to fraction form
    8,405.21/12,604.17 = 2,857.07/x
  3. Step 3: Cross multiply
    8,405.21x = 12,604.17 × 2,857.07
  4. Step 4: Simplify right side
    8,405.21x = 36,010,932.96
  5. Step 5: Solve for x
    x = 36,010,932.96/8,405.21
  6. Step 6: Final answer
    x = 4,284.36

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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.