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Finding the Fourth Proportional to 8,611, 12,916.74 and 2,768.20

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Solution

The fourth proportional to 8,611, 12,916.74 and 2,768.20 is: 4,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611 : 12,916.74 = 2,768.20 : x
  2. Step 2: Convert to fraction form
    8,611/12,916.74 = 2,768.20/x
  3. Step 3: Cross multiply
    8,611x = 12,916.74 × 2,768.20
  4. Step 4: Simplify right side
    8,611x = 35,756,119.67
  5. Step 5: Solve for x
    x = 35,756,119.67/8,611
  6. Step 6: Final answer
    x = 4,152.38

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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.