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Finding the Fourth Proportional to 7,031.21, 10,544.22 and 2,099.18

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Solution

The fourth proportional to 7,031.21, 10,544.22 and 2,099.18 is: 3,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.21 : 10,544.22 = 2,099.18 : x
  2. Step 2: Convert to fraction form
    7,031.21/10,544.22 = 2,099.18/x
  3. Step 3: Cross multiply
    7,031.21x = 10,544.22 × 2,099.18
  4. Step 4: Simplify right side
    7,031.21x = 22,134,163.02
  5. Step 5: Solve for x
    x = 22,134,163.02/7,031.21
  6. Step 6: Final answer
    x = 3,147.99

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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.