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Finding the Fourth Proportional to 10,561.70, 15,842.55 and 2,771.30

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Solution

The fourth proportional to 10,561.70, 15,842.55 and 2,771.30 is: 4,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.70 : 15,842.55 = 2,771.30 : x
  2. Step 2: Convert to fraction form
    10,561.70/15,842.55 = 2,771.30/x
  3. Step 3: Cross multiply
    10,561.70x = 15,842.55 × 2,771.30
  4. Step 4: Simplify right side
    10,561.70x = 43,904,458.82
  5. Step 5: Solve for x
    x = 43,904,458.82/10,561.70
  6. Step 6: Final answer
    x = 4,156.95

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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.