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Finding the Fourth Proportional to 7,018.06, 10,523.22 and 2,857

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Solution

The fourth proportional to 7,018.06, 10,523.22 and 2,857 is: 4,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.06 : 10,523.22 = 2,857 : x
  2. Step 2: Convert to fraction form
    7,018.06/10,523.22 = 2,857/x
  3. Step 3: Cross multiply
    7,018.06x = 10,523.22 × 2,857
  4. Step 4: Simplify right side
    7,018.06x = 30,064,839.54
  5. Step 5: Solve for x
    x = 30,064,839.54/7,018.06
  6. Step 6: Final answer
    x = 4,283.92

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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.