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Finding the Fourth Proportional to 7,105.68, 9,806.52 and 3,962.16

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Solution

The fourth proportional to 7,105.68, 9,806.52 and 3,962.16 is: 5,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.68 : 9,806.52 = 3,962.16 : x
  2. Step 2: Convert to fraction form
    7,105.68/9,806.52 = 3,962.16/x
  3. Step 3: Cross multiply
    7,105.68x = 9,806.52 × 3,962.16
  4. Step 4: Simplify right side
    7,105.68x = 38,855,001.28
  5. Step 5: Solve for x
    x = 38,855,001.28/7,105.68
  6. Step 6: Final answer
    x = 5,468.16

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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.