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Finding the Fourth Proportional to 8,104.61, 12,152.72 and 3,105.50

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Solution

The fourth proportional to 8,104.61, 12,152.72 and 3,105.50 is: 4,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.61 : 12,152.72 = 3,105.50 : x
  2. Step 2: Convert to fraction form
    8,104.61/12,152.72 = 3,105.50/x
  3. Step 3: Cross multiply
    8,104.61x = 12,152.72 × 3,105.50
  4. Step 4: Simplify right side
    8,104.61x = 37,740,218.96
  5. Step 5: Solve for x
    x = 37,740,218.96/8,104.61
  6. Step 6: Final answer
    x = 4,656.63

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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.