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Finding the Fourth Proportional to 8,213.48, 12,322.04 and 2,369.63

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Solution

The fourth proportional to 8,213.48, 12,322.04 and 2,369.63 is: 3,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.48 : 12,322.04 = 2,369.63 : x
  2. Step 2: Convert to fraction form
    8,213.48/12,322.04 = 2,369.63/x
  3. Step 3: Cross multiply
    8,213.48x = 12,322.04 × 2,369.63
  4. Step 4: Simplify right side
    8,213.48x = 29,198,602.19
  5. Step 5: Solve for x
    x = 29,198,602.19/8,213.48
  6. Step 6: Final answer
    x = 3,554.96

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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.