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Finding the Fourth Proportional to 11,679.64, 16,112.84 and 7,142.51

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Solution

The fourth proportional to 11,679.64, 16,112.84 and 7,142.51 is: 9,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.64 : 16,112.84 = 7,142.51 : x
  2. Step 2: Convert to fraction form
    11,679.64/16,112.84 = 7,142.51/x
  3. Step 3: Cross multiply
    11,679.64x = 16,112.84 × 7,142.51
  4. Step 4: Simplify right side
    11,679.64x = 115,086,191.32
  5. Step 5: Solve for x
    x = 115,086,191.32/11,679.64
  6. Step 6: Final answer
    x = 9,853.58

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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.