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Finding the Fourth Proportional to 7,743, 11,615.94 and 3,639

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Solution

The fourth proportional to 7,743, 11,615.94 and 3,639 is: 5,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 11,615.94 = 3,639 : x
  2. Step 2: Convert to fraction form
    7,743/11,615.94 = 3,639/x
  3. Step 3: Cross multiply
    7,743x = 11,615.94 × 3,639
  4. Step 4: Simplify right side
    7,743x = 42,270,405.66
  5. Step 5: Solve for x
    x = 42,270,405.66/7,743
  6. Step 6: Final answer
    x = 5,459.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.