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Finding the Fourth Proportional to 8,163.04, 11,265.04 and 4,806

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Solution

The fourth proportional to 8,163.04, 11,265.04 and 4,806 is: 6,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.04 : 11,265.04 = 4,806 : x
  2. Step 2: Convert to fraction form
    8,163.04/11,265.04 = 4,806/x
  3. Step 3: Cross multiply
    8,163.04x = 11,265.04 × 4,806
  4. Step 4: Simplify right side
    8,163.04x = 54,139,782.24
  5. Step 5: Solve for x
    x = 54,139,782.24/8,163.04
  6. Step 6: Final answer
    x = 6,632.31

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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.