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Finding the Fourth Proportional to 8,561.75, 12,841.00 and 2,718.41

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Solution

The fourth proportional to 8,561.75, 12,841.00 and 2,718.41 is: 4,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.75 : 12,841.00 = 2,718.41 : x
  2. Step 2: Convert to fraction form
    8,561.75/12,841.00 = 2,718.41/x
  3. Step 3: Cross multiply
    8,561.75x = 12,841.00 × 2,718.41
  4. Step 4: Simplify right side
    8,561.75x = 34,907,031.81
  5. Step 5: Solve for x
    x = 34,907,031.81/8,561.75
  6. Step 6: Final answer
    x = 4,077.09

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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.