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Finding the Fourth Proportional to 7,732.94, 11,593.26 and 3,347.33

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Solution

The fourth proportional to 7,732.94, 11,593.26 and 3,347.33 is: 5,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.94 : 11,593.26 = 3,347.33 : x
  2. Step 2: Convert to fraction form
    7,732.94/11,593.26 = 3,347.33/x
  3. Step 3: Cross multiply
    7,732.94x = 11,593.26 × 3,347.33
  4. Step 4: Simplify right side
    7,732.94x = 38,806,409.03
  5. Step 5: Solve for x
    x = 38,806,409.03/7,732.94
  6. Step 6: Final answer
    x = 5,018.33

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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.