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Finding the Fourth Proportional to 7,743.50, 11,616.69 and 3,639.50

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Solution

The fourth proportional to 7,743.50, 11,616.69 and 3,639.50 is: 5,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.50 : 11,616.69 = 3,639.50 : x
  2. Step 2: Convert to fraction form
    7,743.50/11,616.69 = 3,639.50/x
  3. Step 3: Cross multiply
    7,743.50x = 11,616.69 × 3,639.50
  4. Step 4: Simplify right side
    7,743.50x = 42,278,943.26
  5. Step 5: Solve for x
    x = 42,278,943.26/7,743.50
  6. Step 6: Final answer
    x = 5,459.93

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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.