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Finding the Fourth Proportional to 8,371.67, 12,557.89 and 2,825.06

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Solution

The fourth proportional to 8,371.67, 12,557.89 and 2,825.06 is: 4,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.67 : 12,557.89 = 2,825.06 : x
  2. Step 2: Convert to fraction form
    8,371.67/12,557.89 = 2,825.06/x
  3. Step 3: Cross multiply
    8,371.67x = 12,557.89 × 2,825.06
  4. Step 4: Simplify right side
    8,371.67x = 35,476,792.72
  5. Step 5: Solve for x
    x = 35,476,792.72/8,371.67
  6. Step 6: Final answer
    x = 4,237.72

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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.