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Finding the Fourth Proportional to 8,264.26, 12,396.34 and 2,024.39

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Solution

The fourth proportional to 8,264.26, 12,396.34 and 2,024.39 is: 3,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.26 : 12,396.34 = 2,024.39 : x
  2. Step 2: Convert to fraction form
    8,264.26/12,396.34 = 2,024.39/x
  3. Step 3: Cross multiply
    8,264.26x = 12,396.34 × 2,024.39
  4. Step 4: Simplify right side
    8,264.26x = 25,095,060.25
  5. Step 5: Solve for x
    x = 25,095,060.25/8,264.26
  6. Step 6: Final answer
    x = 3,036.58

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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.