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Finding the Fourth Proportional to 7,147.68, 10,716.96 and 4,226.88

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Solution

The fourth proportional to 7,147.68, 10,716.96 and 4,226.88 is: 6,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.68 : 10,716.96 = 4,226.88 : x
  2. Step 2: Convert to fraction form
    7,147.68/10,716.96 = 4,226.88/x
  3. Step 3: Cross multiply
    7,147.68x = 10,716.96 × 4,226.88
  4. Step 4: Simplify right side
    7,147.68x = 45,299,303.88
  5. Step 5: Solve for x
    x = 45,299,303.88/7,147.68
  6. Step 6: Final answer
    x = 6,337.62

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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.