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Finding the Fourth Proportional to 10,556.75, 14,561.96 and 6,971.73

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Solution

The fourth proportional to 10,556.75, 14,561.96 and 6,971.73 is: 9,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.75 : 14,561.96 = 6,971.73 : x
  2. Step 2: Convert to fraction form
    10,556.75/14,561.96 = 6,971.73/x
  3. Step 3: Cross multiply
    10,556.75x = 14,561.96 × 6,971.73
  4. Step 4: Simplify right side
    10,556.75x = 101,522,018.53
  5. Step 5: Solve for x
    x = 101,522,018.53/10,556.75
  6. Step 6: Final answer
    x = 9,616.79

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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.