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Finding the Fourth Proportional to 8,341, 12,517.18 and 4,448.14

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Solution

The fourth proportional to 8,341, 12,517.18 and 4,448.14 is: 6,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341 : 12,517.18 = 4,448.14 : x
  2. Step 2: Convert to fraction form
    8,341/12,517.18 = 4,448.14/x
  3. Step 3: Cross multiply
    8,341x = 12,517.18 × 4,448.14
  4. Step 4: Simplify right side
    8,341x = 55,678,169.05
  5. Step 5: Solve for x
    x = 55,678,169.05/8,341
  6. Step 6: Final answer
    x = 6,675.24

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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.