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Finding the Fourth Proportional to 13,379.41, 18,464.11 and 7,410.96

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Solution

The fourth proportional to 13,379.41, 18,464.11 and 7,410.96 is: 10,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.41 : 18,464.11 = 7,410.96 : x
  2. Step 2: Convert to fraction form
    13,379.41/18,464.11 = 7,410.96/x
  3. Step 3: Cross multiply
    13,379.41x = 18,464.11 × 7,410.96
  4. Step 4: Simplify right side
    13,379.41x = 136,836,762.12
  5. Step 5: Solve for x
    x = 136,836,762.12/13,379.41
  6. Step 6: Final answer
    x = 10,227.41

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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.