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Finding the Fourth Proportional to 8,314.94, 12,469.57 and 2,390.27

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Solution

The fourth proportional to 8,314.94, 12,469.57 and 2,390.27 is: 3,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.94 : 12,469.57 = 2,390.27 : x
  2. Step 2: Convert to fraction form
    8,314.94/12,469.57 = 2,390.27/x
  3. Step 3: Cross multiply
    8,314.94x = 12,469.57 × 2,390.27
  4. Step 4: Simplify right side
    8,314.94x = 29,805,570.76
  5. Step 5: Solve for x
    x = 29,805,570.76/8,314.94
  6. Step 6: Final answer
    x = 3,584.58

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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.