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Finding the Fourth Proportional to 7,251.80, 10,856.10 and 6,824.60

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Solution

The fourth proportional to 7,251.80, 10,856.10 and 6,824.60 is: 10,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.80 : 10,856.10 = 6,824.60 : x
  2. Step 2: Convert to fraction form
    7,251.80/10,856.10 = 6,824.60/x
  3. Step 3: Cross multiply
    7,251.80x = 10,856.10 × 6,824.60
  4. Step 4: Simplify right side
    7,251.80x = 74,088,540.06
  5. Step 5: Solve for x
    x = 74,088,540.06/7,251.80
  6. Step 6: Final answer
    x = 10,216.57

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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.