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Finding the Fourth Proportional to 10,561.86, 15,842.91 and 2,771.46

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Solution

The fourth proportional to 10,561.86, 15,842.91 and 2,771.46 is: 4,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.86 : 15,842.91 = 2,771.46 : x
  2. Step 2: Convert to fraction form
    10,561.86/15,842.91 = 2,771.46/x
  3. Step 3: Cross multiply
    10,561.86x = 15,842.91 × 2,771.46
  4. Step 4: Simplify right side
    10,561.86x = 43,907,991.35
  5. Step 5: Solve for x
    x = 43,907,991.35/10,561.86
  6. Step 6: Final answer
    x = 4,157.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.