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Finding the Fourth Proportional to 11,587.86, 15,991.38 and 6,282.72

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Solution

The fourth proportional to 11,587.86, 15,991.38 and 6,282.72 is: 8,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.86 : 15,991.38 = 6,282.72 : x
  2. Step 2: Convert to fraction form
    11,587.86/15,991.38 = 6,282.72/x
  3. Step 3: Cross multiply
    11,587.86x = 15,991.38 × 6,282.72
  4. Step 4: Simplify right side
    11,587.86x = 100,469,362.95
  5. Step 5: Solve for x
    x = 100,469,362.95/11,587.86
  6. Step 6: Final answer
    x = 8,670.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.