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Finding the Fourth Proportional to 8,693.62, 13,033.41 and 3,494.50

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Solution

The fourth proportional to 8,693.62, 13,033.41 and 3,494.50 is: 5,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.62 : 13,033.41 = 3,494.50 : x
  2. Step 2: Convert to fraction form
    8,693.62/13,033.41 = 3,494.50/x
  3. Step 3: Cross multiply
    8,693.62x = 13,033.41 × 3,494.50
  4. Step 4: Simplify right side
    8,693.62x = 45,545,251.25
  5. Step 5: Solve for x
    x = 45,545,251.25/8,693.62
  6. Step 6: Final answer
    x = 5,238.93

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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.