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Finding the Fourth Proportional to 8,462.41, 11,679.24 and 5,107.13

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Solution

The fourth proportional to 8,462.41, 11,679.24 and 5,107.13 is: 7,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.41 : 11,679.24 = 5,107.13 : x
  2. Step 2: Convert to fraction form
    8,462.41/11,679.24 = 5,107.13/x
  3. Step 3: Cross multiply
    8,462.41x = 11,679.24 × 5,107.13
  4. Step 4: Simplify right side
    8,462.41x = 59,647,438.50
  5. Step 5: Solve for x
    x = 59,647,438.50/8,462.41
  6. Step 6: Final answer
    x = 7,048.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.