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Finding the Fourth Proportional to 8,394.36, 12,594.65 and 3,464.43

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Solution

The fourth proportional to 8,394.36, 12,594.65 and 3,464.43 is: 5,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.36 : 12,594.65 = 3,464.43 : x
  2. Step 2: Convert to fraction form
    8,394.36/12,594.65 = 3,464.43/x
  3. Step 3: Cross multiply
    8,394.36x = 12,594.65 × 3,464.43
  4. Step 4: Simplify right side
    8,394.36x = 43,633,265.98
  5. Step 5: Solve for x
    x = 43,633,265.98/8,394.36
  6. Step 6: Final answer
    x = 5,197.93

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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.