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Finding the Fourth Proportional to 8,611.65, 12,884.81 and 5,103.54

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Solution

The fourth proportional to 8,611.65, 12,884.81 and 5,103.54 is: 7,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.65 : 12,884.81 = 5,103.54 : x
  2. Step 2: Convert to fraction form
    8,611.65/12,884.81 = 5,103.54/x
  3. Step 3: Cross multiply
    8,611.65x = 12,884.81 × 5,103.54
  4. Step 4: Simplify right side
    8,611.65x = 65,758,117.71
  5. Step 5: Solve for x
    x = 65,758,117.71/8,611.65
  6. Step 6: Final answer
    x = 7,635.95

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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.