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Finding the Fourth Proportional to 8,274.89, 12,412.33 and 3,594.31

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Solution

The fourth proportional to 8,274.89, 12,412.33 and 3,594.31 is: 5,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.89 : 12,412.33 = 3,594.31 : x
  2. Step 2: Convert to fraction form
    8,274.89/12,412.33 = 3,594.31/x
  3. Step 3: Cross multiply
    8,274.89x = 12,412.33 × 3,594.31
  4. Step 4: Simplify right side
    8,274.89x = 44,613,721.83
  5. Step 5: Solve for x
    x = 44,613,721.83/8,274.89
  6. Step 6: Final answer
    x = 5,391.46

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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.