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Finding the Fourth Proportional to 11,757.32, 16,223.92 and 7,041.48

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Solution

The fourth proportional to 11,757.32, 16,223.92 and 7,041.48 is: 9,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.32 : 16,223.92 = 7,041.48 : x
  2. Step 2: Convert to fraction form
    11,757.32/16,223.92 = 7,041.48/x
  3. Step 3: Cross multiply
    11,757.32x = 16,223.92 × 7,041.48
  4. Step 4: Simplify right side
    11,757.32x = 114,240,408.20
  5. Step 5: Solve for x
    x = 114,240,408.20/11,757.32
  6. Step 6: Final answer
    x = 9,716.53

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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.