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Finding the Fourth Proportional to 6,922.48, 10,383.74 and 1,728.35

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Solution

The fourth proportional to 6,922.48, 10,383.74 and 1,728.35 is: 2,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.48 : 10,383.74 = 1,728.35 : x
  2. Step 2: Convert to fraction form
    6,922.48/10,383.74 = 1,728.35/x
  3. Step 3: Cross multiply
    6,922.48x = 10,383.74 × 1,728.35
  4. Step 4: Simplify right side
    6,922.48x = 17,946,737.03
  5. Step 5: Solve for x
    x = 17,946,737.03/6,922.48
  6. Step 6: Final answer
    x = 2,592.53

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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.