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Finding the Fourth Proportional to 7,713.64, 11,569.98 and 3,328

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Solution

The fourth proportional to 7,713.64, 11,569.98 and 3,328 is: 4,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.64 : 11,569.98 = 3,328 : x
  2. Step 2: Convert to fraction form
    7,713.64/11,569.98 = 3,328/x
  3. Step 3: Cross multiply
    7,713.64x = 11,569.98 × 3,328
  4. Step 4: Simplify right side
    7,713.64x = 38,504,893.44
  5. Step 5: Solve for x
    x = 38,504,893.44/7,713.64
  6. Step 6: Final answer
    x = 4,991.79

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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.