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Finding the Fourth Proportional to 8,292.82, 12,437.34 and 2,369.60

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Solution

The fourth proportional to 8,292.82, 12,437.34 and 2,369.60 is: 3,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.82 : 12,437.34 = 2,369.60 : x
  2. Step 2: Convert to fraction form
    8,292.82/12,437.34 = 2,369.60/x
  3. Step 3: Cross multiply
    8,292.82x = 12,437.34 × 2,369.60
  4. Step 4: Simplify right side
    8,292.82x = 29,471,520.86
  5. Step 5: Solve for x
    x = 29,471,520.86/8,292.82
  6. Step 6: Final answer
    x = 3,553.86

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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.