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Finding the Fourth Proportional to 8,405.72, 12,604.92 and 2,857.57

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Solution

The fourth proportional to 8,405.72, 12,604.92 and 2,857.57 is: 4,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.72 : 12,604.92 = 2,857.57 : x
  2. Step 2: Convert to fraction form
    8,405.72/12,604.92 = 2,857.57/x
  3. Step 3: Cross multiply
    8,405.72x = 12,604.92 × 2,857.57
  4. Step 4: Simplify right side
    8,405.72x = 36,019,378.22
  5. Step 5: Solve for x
    x = 36,019,378.22/8,405.72
  6. Step 6: Final answer
    x = 4,285.11

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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.