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Finding the Fourth Proportional to 7,728.33, 11,592.49 and 1,884.99

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Solution

The fourth proportional to 7,728.33, 11,592.49 and 1,884.99 is: 2,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.33 : 11,592.49 = 1,884.99 : x
  2. Step 2: Convert to fraction form
    7,728.33/11,592.49 = 1,884.99/x
  3. Step 3: Cross multiply
    7,728.33x = 11,592.49 × 1,884.99
  4. Step 4: Simplify right side
    7,728.33x = 21,851,727.73
  5. Step 5: Solve for x
    x = 21,851,727.73/7,728.33
  6. Step 6: Final answer
    x = 2,827.48

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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.