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Finding the Fourth Proportional to 11,651.41, 17,463.24 and 6,710.81

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Solution

The fourth proportional to 11,651.41, 17,463.24 and 6,710.81 is: 10,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.41 : 17,463.24 = 6,710.81 : x
  2. Step 2: Convert to fraction form
    11,651.41/17,463.24 = 6,710.81/x
  3. Step 3: Cross multiply
    11,651.41x = 17,463.24 × 6,710.81
  4. Step 4: Simplify right side
    11,651.41x = 117,192,529.28
  5. Step 5: Solve for x
    x = 117,192,529.28/11,651.41
  6. Step 6: Final answer
    x = 10,058.23

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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.