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Finding the Fourth Proportional to 8,291, 12,441.38 and 3,674.04

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Solution

The fourth proportional to 8,291, 12,441.38 and 3,674.04 is: 5,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291 : 12,441.38 = 3,674.04 : x
  2. Step 2: Convert to fraction form
    8,291/12,441.38 = 3,674.04/x
  3. Step 3: Cross multiply
    8,291x = 12,441.38 × 3,674.04
  4. Step 4: Simplify right side
    8,291x = 45,710,127.78
  5. Step 5: Solve for x
    x = 45,710,127.78/8,291
  6. Step 6: Final answer
    x = 5,513.22

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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.