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Finding the Fourth Proportional to 8,274.60, 12,412.29 and 3,343.62

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Solution

The fourth proportional to 8,274.60, 12,412.29 and 3,343.62 is: 5,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.60 : 12,412.29 = 3,343.62 : x
  2. Step 2: Convert to fraction form
    8,274.60/12,412.29 = 3,343.62/x
  3. Step 3: Cross multiply
    8,274.60x = 12,412.29 × 3,343.62
  4. Step 4: Simplify right side
    8,274.60x = 41,501,981.09
  5. Step 5: Solve for x
    x = 41,501,981.09/8,274.60
  6. Step 6: Final answer
    x = 5,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.