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Finding the Fourth Proportional to 8,083.68, 12,125.52 and 2,889.24

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Solution

The fourth proportional to 8,083.68, 12,125.52 and 2,889.24 is: 4,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.68 : 12,125.52 = 2,889.24 : x
  2. Step 2: Convert to fraction form
    8,083.68/12,125.52 = 2,889.24/x
  3. Step 3: Cross multiply
    8,083.68x = 12,125.52 × 2,889.24
  4. Step 4: Simplify right side
    8,083.68x = 35,033,537.40
  5. Step 5: Solve for x
    x = 35,033,537.40/8,083.68
  6. Step 6: Final answer
    x = 4,333.86

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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.