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Finding the Fourth Proportional to 6,857.64, 10,284.66 and 2,474.28

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Solution

The fourth proportional to 6,857.64, 10,284.66 and 2,474.28 is: 3,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.64 : 10,284.66 = 2,474.28 : x
  2. Step 2: Convert to fraction form
    6,857.64/10,284.66 = 2,474.28/x
  3. Step 3: Cross multiply
    6,857.64x = 10,284.66 × 2,474.28
  4. Step 4: Simplify right side
    6,857.64x = 25,447,128.54
  5. Step 5: Solve for x
    x = 25,447,128.54/6,857.64
  6. Step 6: Final answer
    x = 3,710.77

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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.