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Finding the Fourth Proportional to 11,744.46, 16,205.31 and 7,763.49

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Solution

The fourth proportional to 11,744.46, 16,205.31 and 7,763.49 is: 10,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.46 : 16,205.31 = 7,763.49 : x
  2. Step 2: Convert to fraction form
    11,744.46/16,205.31 = 7,763.49/x
  3. Step 3: Cross multiply
    11,744.46x = 16,205.31 × 7,763.49
  4. Step 4: Simplify right side
    11,744.46x = 125,809,762.13
  5. Step 5: Solve for x
    x = 125,809,762.13/11,744.46
  6. Step 6: Final answer
    x = 10,712.26

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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.