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Finding the Fourth Proportional to 8,410.26, 12,615.32 and 2,169.74

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Solution

The fourth proportional to 8,410.26, 12,615.32 and 2,169.74 is: 3,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.26 : 12,615.32 = 2,169.74 : x
  2. Step 2: Convert to fraction form
    8,410.26/12,615.32 = 2,169.74/x
  3. Step 3: Cross multiply
    8,410.26x = 12,615.32 × 2,169.74
  4. Step 4: Simplify right side
    8,410.26x = 27,371,924.32
  5. Step 5: Solve for x
    x = 27,371,924.32/8,410.26
  6. Step 6: Final answer
    x = 3,254.59

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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.