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Finding the Fourth Proportional to 11,842.94, 17,764.55 and 3,523.79

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Solution

The fourth proportional to 11,842.94, 17,764.55 and 3,523.79 is: 5,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.94 : 17,764.55 = 3,523.79 : x
  2. Step 2: Convert to fraction form
    11,842.94/17,764.55 = 3,523.79/x
  3. Step 3: Cross multiply
    11,842.94x = 17,764.55 × 3,523.79
  4. Step 4: Simplify right side
    11,842.94x = 62,598,526.03
  5. Step 5: Solve for x
    x = 62,598,526.03/11,842.94
  6. Step 6: Final answer
    x = 5,285.73

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Why These Related Problems?

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