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Finding the Fourth Proportional to 6,856.12, 10,288.28 and 6,298.44

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Solution

The fourth proportional to 6,856.12, 10,288.28 and 6,298.44 is: 9,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.12 : 10,288.28 = 6,298.44 : x
  2. Step 2: Convert to fraction form
    6,856.12/10,288.28 = 6,298.44/x
  3. Step 3: Cross multiply
    6,856.12x = 10,288.28 × 6,298.44
  4. Step 4: Simplify right side
    6,856.12x = 64,800,091.45
  5. Step 5: Solve for x
    x = 64,800,091.45/6,856.12
  6. Step 6: Final answer
    x = 9,451.42

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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.