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Finding the Fourth Proportional to 8,537.73, 12,808.14 and 2,614.51

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Solution

The fourth proportional to 8,537.73, 12,808.14 and 2,614.51 is: 3,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.73 : 12,808.14 = 2,614.51 : x
  2. Step 2: Convert to fraction form
    8,537.73/12,808.14 = 2,614.51/x
  3. Step 3: Cross multiply
    8,537.73x = 12,808.14 × 2,614.51
  4. Step 4: Simplify right side
    8,537.73x = 33,487,010.11
  5. Step 5: Solve for x
    x = 33,487,010.11/8,537.73
  6. Step 6: Final answer
    x = 3,922.24

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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.