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Finding the Fourth Proportional to 7,015.68, 10,523.52 and 2,857.44

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Solution

The fourth proportional to 7,015.68, 10,523.52 and 2,857.44 is: 4,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.68 : 10,523.52 = 2,857.44 : x
  2. Step 2: Convert to fraction form
    7,015.68/10,523.52 = 2,857.44/x
  3. Step 3: Cross multiply
    7,015.68x = 10,523.52 × 2,857.44
  4. Step 4: Simplify right side
    7,015.68x = 30,070,326.99
  5. Step 5: Solve for x
    x = 30,070,326.99/7,015.68
  6. Step 6: Final answer
    x = 4,286.16

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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.