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Finding the Fourth Proportional to 11,901.21, 16,431.13 and 7,659.63

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Solution

The fourth proportional to 11,901.21, 16,431.13 and 7,659.63 is: 10,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.21 : 16,431.13 = 7,659.63 : x
  2. Step 2: Convert to fraction form
    11,901.21/16,431.13 = 7,659.63/x
  3. Step 3: Cross multiply
    11,901.21x = 16,431.13 × 7,659.63
  4. Step 4: Simplify right side
    11,901.21x = 125,856,376.28
  5. Step 5: Solve for x
    x = 125,856,376.28/11,901.21
  6. Step 6: Final answer
    x = 10,575.09

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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.