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Finding the Fourth Proportional to 8,390.37, 12,584.17 and 2,768.13

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Solution

The fourth proportional to 8,390.37, 12,584.17 and 2,768.13 is: 4,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.37 : 12,584.17 = 2,768.13 : x
  2. Step 2: Convert to fraction form
    8,390.37/12,584.17 = 2,768.13/x
  3. Step 3: Cross multiply
    8,390.37x = 12,584.17 × 2,768.13
  4. Step 4: Simplify right side
    8,390.37x = 34,834,618.50
  5. Step 5: Solve for x
    x = 34,834,618.50/8,390.37
  6. Step 6: Final answer
    x = 4,151.74

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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.