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Finding the Fourth Proportional to 8,735, 12,054.18 and 5,198.12

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Solution

The fourth proportional to 8,735, 12,054.18 and 5,198.12 is: 7,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735 : 12,054.18 = 5,198.12 : x
  2. Step 2: Convert to fraction form
    8,735/12,054.18 = 5,198.12/x
  3. Step 3: Cross multiply
    8,735x = 12,054.18 × 5,198.12
  4. Step 4: Simplify right side
    8,735x = 62,659,074.14
  5. Step 5: Solve for x
    x = 62,659,074.14/8,735
  6. Step 6: Final answer
    x = 7,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.