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Finding the Fourth Proportional to 11,741.06, 16,203.17 and 7,024.43

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Solution

The fourth proportional to 11,741.06, 16,203.17 and 7,024.43 is: 9,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.06 : 16,203.17 = 7,024.43 : x
  2. Step 2: Convert to fraction form
    11,741.06/16,203.17 = 7,024.43/x
  3. Step 3: Cross multiply
    11,741.06x = 16,203.17 × 7,024.43
  4. Step 4: Simplify right side
    11,741.06x = 113,817,998.32
  5. Step 5: Solve for x
    x = 113,817,998.32/11,741.06
  6. Step 6: Final answer
    x = 9,694.01

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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.