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Finding the Fourth Proportional to 11,857.49, 17,786.92 and 4,462.01

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Solution

The fourth proportional to 11,857.49, 17,786.92 and 4,462.01 is: 6,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.49 : 17,786.92 = 4,462.01 : x
  2. Step 2: Convert to fraction form
    11,857.49/17,786.92 = 4,462.01/x
  3. Step 3: Cross multiply
    11,857.49x = 17,786.92 × 4,462.01
  4. Step 4: Simplify right side
    11,857.49x = 79,365,381.60
  5. Step 5: Solve for x
    x = 79,365,381.60/11,857.49
  6. Step 6: Final answer
    x = 6,693.27

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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.