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Finding the Fourth Proportional to 8,461.74, 12,694.23 and 2,617.32

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Solution

The fourth proportional to 8,461.74, 12,694.23 and 2,617.32 is: 3,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.74 : 12,694.23 = 2,617.32 : x
  2. Step 2: Convert to fraction form
    8,461.74/12,694.23 = 2,617.32/x
  3. Step 3: Cross multiply
    8,461.74x = 12,694.23 × 2,617.32
  4. Step 4: Simplify right side
    8,461.74x = 33,224,862.06
  5. Step 5: Solve for x
    x = 33,224,862.06/8,461.74
  6. Step 6: Final answer
    x = 3,926.48

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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.