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Finding the Fourth Proportional to 8,538.93, 12,813.12 and 3,277.44

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Solution

The fourth proportional to 8,538.93, 12,813.12 and 3,277.44 is: 4,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.93 : 12,813.12 = 3,277.44 : x
  2. Step 2: Convert to fraction form
    8,538.93/12,813.12 = 3,277.44/x
  3. Step 3: Cross multiply
    8,538.93x = 12,813.12 × 3,277.44
  4. Step 4: Simplify right side
    8,538.93x = 41,994,232.01
  5. Step 5: Solve for x
    x = 41,994,232.01/8,538.93
  6. Step 6: Final answer
    x = 4,917.97

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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.