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Finding the Fourth Proportional to 6,997.32, 10,496.07 and 1,803.20

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Solution

The fourth proportional to 6,997.32, 10,496.07 and 1,803.20 is: 2,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 10,496.07 = 1,803.20 : x
  2. Step 2: Convert to fraction form
    6,997.32/10,496.07 = 1,803.20/x
  3. Step 3: Cross multiply
    6,997.32x = 10,496.07 × 1,803.20
  4. Step 4: Simplify right side
    6,997.32x = 18,926,460.94
  5. Step 5: Solve for x
    x = 18,926,460.94/6,997.32
  6. Step 6: Final answer
    x = 2,704.82

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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.