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Finding the Fourth Proportional to 6,856.64, 10,282.84 and 2,473.53

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Solution

The fourth proportional to 6,856.64, 10,282.84 and 2,473.53 is: 3,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.64 : 10,282.84 = 2,473.53 : x
  2. Step 2: Convert to fraction form
    6,856.64/10,282.84 = 2,473.53/x
  3. Step 3: Cross multiply
    6,856.64x = 10,282.84 × 2,473.53
  4. Step 4: Simplify right side
    6,856.64x = 25,434,913.23
  5. Step 5: Solve for x
    x = 25,434,913.23/6,856.64
  6. Step 6: Final answer
    x = 3,709.53

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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.