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Finding the Fourth Proportional to 7,013.21, 10,516.16 and 6,213.80

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Solution

The fourth proportional to 7,013.21, 10,516.16 and 6,213.80 is: 9,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.21 : 10,516.16 = 6,213.80 : x
  2. Step 2: Convert to fraction form
    7,013.21/10,516.16 = 6,213.80/x
  3. Step 3: Cross multiply
    7,013.21x = 10,516.16 × 6,213.80
  4. Step 4: Simplify right side
    7,013.21x = 65,345,342.55
  5. Step 5: Solve for x
    x = 65,345,342.55/7,013.21
  6. Step 6: Final answer
    x = 9,317.47

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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.