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Finding the Fourth Proportional to 8,254.98, 12,384.30 and 3,060.86

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Solution

The fourth proportional to 8,254.98, 12,384.30 and 3,060.86 is: 4,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.98 : 12,384.30 = 3,060.86 : x
  2. Step 2: Convert to fraction form
    8,254.98/12,384.30 = 3,060.86/x
  3. Step 3: Cross multiply
    8,254.98x = 12,384.30 × 3,060.86
  4. Step 4: Simplify right side
    8,254.98x = 37,906,608.50
  5. Step 5: Solve for x
    x = 37,906,608.50/8,254.98
  6. Step 6: Final answer
    x = 4,591.97

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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.