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Finding the Fourth Proportional to 8,406.72, 12,606.42 and 2,858.57

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Solution

The fourth proportional to 8,406.72, 12,606.42 and 2,858.57 is: 4,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.72 : 12,606.42 = 2,858.57 : x
  2. Step 2: Convert to fraction form
    8,406.72/12,606.42 = 2,858.57/x
  3. Step 3: Cross multiply
    8,406.72x = 12,606.42 × 2,858.57
  4. Step 4: Simplify right side
    8,406.72x = 36,036,334.02
  5. Step 5: Solve for x
    x = 36,036,334.02/8,406.72
  6. Step 6: Final answer
    x = 4,286.61

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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.