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Finding the Fourth Proportional to 8,573.86, 12,861.16 and 4,195

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Solution

The fourth proportional to 8,573.86, 12,861.16 and 4,195 is: 6,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.86 : 12,861.16 = 4,195 : x
  2. Step 2: Convert to fraction form
    8,573.86/12,861.16 = 4,195/x
  3. Step 3: Cross multiply
    8,573.86x = 12,861.16 × 4,195
  4. Step 4: Simplify right side
    8,573.86x = 53,952,566.20
  5. Step 5: Solve for x
    x = 53,952,566.20/8,573.86
  6. Step 6: Final answer
    x = 6,292.68

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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.