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Finding the Fourth Proportional to 11,741.19, 16,203.34 and 7,024.56

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Solution

The fourth proportional to 11,741.19, 16,203.34 and 7,024.56 is: 9,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.19 : 16,203.34 = 7,024.56 : x
  2. Step 2: Convert to fraction form
    11,741.19/16,203.34 = 7,024.56/x
  3. Step 3: Cross multiply
    11,741.19x = 16,203.34 × 7,024.56
  4. Step 4: Simplify right side
    11,741.19x = 113,821,334.03
  5. Step 5: Solve for x
    x = 113,821,334.03/11,741.19
  6. Step 6: Final answer
    x = 9,694.19

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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.