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Finding the Fourth Proportional to 11,967, 16,514.84 and 7,489.32

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Solution

The fourth proportional to 11,967, 16,514.84 and 7,489.32 is: 10,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967 : 16,514.84 = 7,489.32 : x
  2. Step 2: Convert to fraction form
    11,967/16,514.84 = 7,489.32/x
  3. Step 3: Cross multiply
    11,967x = 16,514.84 × 7,489.32
  4. Step 4: Simplify right side
    11,967x = 123,684,921.51
  5. Step 5: Solve for x
    x = 123,684,921.51/11,967
  6. Step 6: Final answer
    x = 10,335.50

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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.