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Finding the Fourth Proportional to 11,842.46, 17,744.25 and 4,047.02

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Solution

The fourth proportional to 11,842.46, 17,744.25 and 4,047.02 is: 6,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.46 : 17,744.25 = 4,047.02 : x
  2. Step 2: Convert to fraction form
    11,842.46/17,744.25 = 4,047.02/x
  3. Step 3: Cross multiply
    11,842.46x = 17,744.25 × 4,047.02
  4. Step 4: Simplify right side
    11,842.46x = 71,811,334.64
  5. Step 5: Solve for x
    x = 71,811,334.64/11,842.46
  6. Step 6: Final answer
    x = 6,063.89

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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.