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Finding the Fourth Proportional to 8,213.94, 12,322.92 and 2,370.48

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Solution

The fourth proportional to 8,213.94, 12,322.92 and 2,370.48 is: 3,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.94 : 12,322.92 = 2,370.48 : x
  2. Step 2: Convert to fraction form
    8,213.94/12,322.92 = 2,370.48/x
  3. Step 3: Cross multiply
    8,213.94x = 12,322.92 × 2,370.48
  4. Step 4: Simplify right side
    8,213.94x = 29,211,235.40
  5. Step 5: Solve for x
    x = 29,211,235.40/8,213.94
  6. Step 6: Final answer
    x = 3,556.30

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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.