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Finding the Fourth Proportional to 8,266, 11,407.16 and 4,540.08

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Solution

The fourth proportional to 8,266, 11,407.16 and 4,540.08 is: 6,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 11,407.16 = 4,540.08 : x
  2. Step 2: Convert to fraction form
    8,266/11,407.16 = 4,540.08/x
  3. Step 3: Cross multiply
    8,266x = 11,407.16 × 4,540.08
  4. Step 4: Simplify right side
    8,266x = 51,789,418.97
  5. Step 5: Solve for x
    x = 51,789,418.97/8,266
  6. Step 6: Final answer
    x = 6,265.35

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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.