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Finding the Fourth Proportional to 8,097.26, 12,143.55 and 3,418.32

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Solution

The fourth proportional to 8,097.26, 12,143.55 and 3,418.32 is: 5,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.26 : 12,143.55 = 3,418.32 : x
  2. Step 2: Convert to fraction form
    8,097.26/12,143.55 = 3,418.32/x
  3. Step 3: Cross multiply
    8,097.26x = 12,143.55 × 3,418.32
  4. Step 4: Simplify right side
    8,097.26x = 41,510,539.84
  5. Step 5: Solve for x
    x = 41,510,539.84/8,097.26
  6. Step 6: Final answer
    x = 5,126.50

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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.