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Finding the Fourth Proportional to 11,593.98, 15,999.71 and 6,288.80

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Solution

The fourth proportional to 11,593.98, 15,999.71 and 6,288.80 is: 8,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.98 : 15,999.71 = 6,288.80 : x
  2. Step 2: Convert to fraction form
    11,593.98/15,999.71 = 6,288.80/x
  3. Step 3: Cross multiply
    11,593.98x = 15,999.71 × 6,288.80
  4. Step 4: Simplify right side
    11,593.98x = 100,618,976.25
  5. Step 5: Solve for x
    x = 100,618,976.25/11,593.98
  6. Step 6: Final answer
    x = 8,678.55

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