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Finding the Fourth Proportional to 11,385.23, 17,081.19 and 5,842.49

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Solution

The fourth proportional to 11,385.23, 17,081.19 and 5,842.49 is: 8,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.23 : 17,081.19 = 5,842.49 : x
  2. Step 2: Convert to fraction form
    11,385.23/17,081.19 = 5,842.49/x
  3. Step 3: Cross multiply
    11,385.23x = 17,081.19 × 5,842.49
  4. Step 4: Simplify right side
    11,385.23x = 99,796,596.36
  5. Step 5: Solve for x
    x = 99,796,596.36/11,385.23
  6. Step 6: Final answer
    x = 8,765.45

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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.