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Finding the Fourth Proportional to 8,537.24, 12,802.62 and 3,917

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Solution

The fourth proportional to 8,537.24, 12,802.62 and 3,917 is: 5,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.24 : 12,802.62 = 3,917 : x
  2. Step 2: Convert to fraction form
    8,537.24/12,802.62 = 3,917/x
  3. Step 3: Cross multiply
    8,537.24x = 12,802.62 × 3,917
  4. Step 4: Simplify right side
    8,537.24x = 50,147,862.54
  5. Step 5: Solve for x
    x = 50,147,862.54/8,537.24
  6. Step 6: Final answer
    x = 5,874.01

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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.