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Finding the Fourth Proportional to 8,727.91, 13,092.51 and 2,804.86

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Solution

The fourth proportional to 8,727.91, 13,092.51 and 2,804.86 is: 4,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.91 : 13,092.51 = 2,804.86 : x
  2. Step 2: Convert to fraction form
    8,727.91/13,092.51 = 2,804.86/x
  3. Step 3: Cross multiply
    8,727.91x = 13,092.51 × 2,804.86
  4. Step 4: Simplify right side
    8,727.91x = 36,722,657.60
  5. Step 5: Solve for x
    x = 36,722,657.60/8,727.91
  6. Step 6: Final answer
    x = 4,207.50

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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.