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Finding the Fourth Proportional to 8,272.90, 12,409.26 and 2,429.29

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Solution

The fourth proportional to 8,272.90, 12,409.26 and 2,429.29 is: 3,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.90 : 12,409.26 = 2,429.29 : x
  2. Step 2: Convert to fraction form
    8,272.90/12,409.26 = 2,429.29/x
  3. Step 3: Cross multiply
    8,272.90x = 12,409.26 × 2,429.29
  4. Step 4: Simplify right side
    8,272.90x = 30,145,691.23
  5. Step 5: Solve for x
    x = 30,145,691.23/8,272.90
  6. Step 6: Final answer
    x = 3,643.91

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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.