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Finding the Fourth Proportional to 6,856.56, 10,284.89 and 2,474.01

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Solution

The fourth proportional to 6,856.56, 10,284.89 and 2,474.01 is: 3,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.56 : 10,284.89 = 2,474.01 : x
  2. Step 2: Convert to fraction form
    6,856.56/10,284.89 = 2,474.01/x
  3. Step 3: Cross multiply
    6,856.56x = 10,284.89 × 2,474.01
  4. Step 4: Simplify right side
    6,856.56x = 25,444,908.34
  5. Step 5: Solve for x
    x = 25,444,908.34/6,856.56
  6. Step 6: Final answer
    x = 3,711.03

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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.