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Finding the Fourth Proportional to 11,593.67, 15,999.55 and 6,557.64

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Solution

The fourth proportional to 11,593.67, 15,999.55 and 6,557.64 is: 9,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.67 : 15,999.55 = 6,557.64 : x
  2. Step 2: Convert to fraction form
    11,593.67/15,999.55 = 6,557.64/x
  3. Step 3: Cross multiply
    11,593.67x = 15,999.55 × 6,557.64
  4. Step 4: Simplify right side
    11,593.67x = 104,919,256.27
  5. Step 5: Solve for x
    x = 104,919,256.27/11,593.67
  6. Step 6: Final answer
    x = 9,049.71

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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.