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Finding the Fourth Proportional to 7,144.97, 10,717.44 and 2,466.32

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Solution

The fourth proportional to 7,144.97, 10,717.44 and 2,466.32 is: 3,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.97 : 10,717.44 = 2,466.32 : x
  2. Step 2: Convert to fraction form
    7,144.97/10,717.44 = 2,466.32/x
  3. Step 3: Cross multiply
    7,144.97x = 10,717.44 × 2,466.32
  4. Step 4: Simplify right side
    7,144.97x = 26,432,583.03
  5. Step 5: Solve for x
    x = 26,432,583.03/7,144.97
  6. Step 6: Final answer
    x = 3,699.47

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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.