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Finding the Fourth Proportional to 11,558.14, 17,365.74 and 7,399.96

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Solution

The fourth proportional to 11,558.14, 17,365.74 and 7,399.96 is: 11,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.14 : 17,365.74 = 7,399.96 : x
  2. Step 2: Convert to fraction form
    11,558.14/17,365.74 = 7,399.96/x
  3. Step 3: Cross multiply
    11,558.14x = 17,365.74 × 7,399.96
  4. Step 4: Simplify right side
    11,558.14x = 128,505,781.37
  5. Step 5: Solve for x
    x = 128,505,781.37/11,558.14
  6. Step 6: Final answer
    x = 11,118.21

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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.