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Finding the Fourth Proportional to 7,168, 9,891.84 and 5,516.80

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Solution

The fourth proportional to 7,168, 9,891.84 and 5,516.80 is: 7,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 9,891.84 = 5,516.80 : x
  2. Step 2: Convert to fraction form
    7,168/9,891.84 = 5,516.80/x
  3. Step 3: Cross multiply
    7,168x = 9,891.84 × 5,516.80
  4. Step 4: Simplify right side
    7,168x = 54,571,302.91
  5. Step 5: Solve for x
    x = 54,571,302.91/7,168
  6. Step 6: Final answer
    x = 7,613.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.