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Finding the Fourth Proportional to 11,593.32, 15,998.50 and 6,625

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Solution

The fourth proportional to 11,593.32, 15,998.50 and 6,625 is: 9,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.32 : 15,998.50 = 6,625 : x
  2. Step 2: Convert to fraction form
    11,593.32/15,998.50 = 6,625/x
  3. Step 3: Cross multiply
    11,593.32x = 15,998.50 × 6,625
  4. Step 4: Simplify right side
    11,593.32x = 105,990,062.50
  5. Step 5: Solve for x
    x = 105,990,062.50/11,593.32
  6. Step 6: Final answer
    x = 9,142.34

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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.