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Finding the Fourth Proportional to 7,855.92, 11,805.48 and 7,342.20

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Solution

The fourth proportional to 7,855.92, 11,805.48 and 7,342.20 is: 11,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.92 : 11,805.48 = 7,342.20 : x
  2. Step 2: Convert to fraction form
    7,855.92/11,805.48 = 7,342.20/x
  3. Step 3: Cross multiply
    7,855.92x = 11,805.48 × 7,342.20
  4. Step 4: Simplify right side
    7,855.92x = 86,678,195.26
  5. Step 5: Solve for x
    x = 86,678,195.26/7,855.92
  6. Step 6: Final answer
    x = 11,033.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.