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Finding the Fourth Proportional to 8,381.37, 12,570.69 and 2,834.61

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Solution

The fourth proportional to 8,381.37, 12,570.69 and 2,834.61 is: 4,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.37 : 12,570.69 = 2,834.61 : x
  2. Step 2: Convert to fraction form
    8,381.37/12,570.69 = 2,834.61/x
  3. Step 3: Cross multiply
    8,381.37x = 12,570.69 × 2,834.61
  4. Step 4: Simplify right side
    8,381.37x = 35,633,003.58
  5. Step 5: Solve for x
    x = 35,633,003.58/8,381.37
  6. Step 6: Final answer
    x = 4,251.45

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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.