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Finding the Fourth Proportional to 6,857.32, 10,283.86 and 2,474.22

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Solution

The fourth proportional to 6,857.32, 10,283.86 and 2,474.22 is: 3,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.32 : 10,283.86 = 2,474.22 : x
  2. Step 2: Convert to fraction form
    6,857.32/10,283.86 = 2,474.22/x
  3. Step 3: Cross multiply
    6,857.32x = 10,283.86 × 2,474.22
  4. Step 4: Simplify right side
    6,857.32x = 25,444,532.09
  5. Step 5: Solve for x
    x = 25,444,532.09/6,857.32
  6. Step 6: Final answer
    x = 3,710.57

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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.