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Finding the Fourth Proportional to 11,924, 17,879.44 and 5,356.64

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Solution

The fourth proportional to 11,924, 17,879.44 and 5,356.64 is: 8,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924 : 17,879.44 = 5,356.64 : x
  2. Step 2: Convert to fraction form
    11,924/17,879.44 = 5,356.64/x
  3. Step 3: Cross multiply
    11,924x = 17,879.44 × 5,356.64
  4. Step 4: Simplify right side
    11,924x = 95,773,723.48
  5. Step 5: Solve for x
    x = 95,773,723.48/11,924
  6. Step 6: Final answer
    x = 8,032.01

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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.