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Finding the Fourth Proportional to 8,357.82, 12,537.75 and 3,091.94

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Solution

The fourth proportional to 8,357.82, 12,537.75 and 3,091.94 is: 4,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.82 : 12,537.75 = 3,091.94 : x
  2. Step 2: Convert to fraction form
    8,357.82/12,537.75 = 3,091.94/x
  3. Step 3: Cross multiply
    8,357.82x = 12,537.75 × 3,091.94
  4. Step 4: Simplify right side
    8,357.82x = 38,765,908.05
  5. Step 5: Solve for x
    x = 38,765,908.05/8,357.82
  6. Step 6: Final answer
    x = 4,638.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.