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Finding the Fourth Proportional to 11,440.68, 17,143.38 and 7,728.36

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Solution

The fourth proportional to 11,440.68, 17,143.38 and 7,728.36 is: 11,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.68 : 17,143.38 = 7,728.36 : x
  2. Step 2: Convert to fraction form
    11,440.68/17,143.38 = 7,728.36/x
  3. Step 3: Cross multiply
    11,440.68x = 17,143.38 × 7,728.36
  4. Step 4: Simplify right side
    11,440.68x = 132,490,212.26
  5. Step 5: Solve for x
    x = 132,490,212.26/11,440.68
  6. Step 6: Final answer
    x = 11,580.62

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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.