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Finding the Fourth Proportional to 8,122.50, 12,184.36 and 4,611.15

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Solution

The fourth proportional to 8,122.50, 12,184.36 and 4,611.15 is: 6,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.50 : 12,184.36 = 4,611.15 : x
  2. Step 2: Convert to fraction form
    8,122.50/12,184.36 = 4,611.15/x
  3. Step 3: Cross multiply
    8,122.50x = 12,184.36 × 4,611.15
  4. Step 4: Simplify right side
    8,122.50x = 56,183,900.09
  5. Step 5: Solve for x
    x = 56,183,900.09/8,122.50
  6. Step 6: Final answer
    x = 6,917.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.