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Finding the Fourth Proportional to 11,616.44, 17,424.75 and 2,851.43

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Solution

The fourth proportional to 11,616.44, 17,424.75 and 2,851.43 is: 4,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.44 : 17,424.75 = 2,851.43 : x
  2. Step 2: Convert to fraction form
    11,616.44/17,424.75 = 2,851.43/x
  3. Step 3: Cross multiply
    11,616.44x = 17,424.75 × 2,851.43
  4. Step 4: Simplify right side
    11,616.44x = 49,685,454.89
  5. Step 5: Solve for x
    x = 49,685,454.89/11,616.44
  6. Step 6: Final answer
    x = 4,277.17

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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.