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Finding the Fourth Proportional to 7,743, 10,685.54 and 4,206.21

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Solution

The fourth proportional to 7,743, 10,685.54 and 4,206.21 is: 5,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 10,685.54 = 4,206.21 : x
  2. Step 2: Convert to fraction form
    7,743/10,685.54 = 4,206.21/x
  3. Step 3: Cross multiply
    7,743x = 10,685.54 × 4,206.21
  4. Step 4: Simplify right side
    7,743x = 44,945,625.20
  5. Step 5: Solve for x
    x = 44,945,625.20/7,743
  6. Step 6: Final answer
    x = 5,804.68

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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.