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Finding the Fourth Proportional to 8,714.66, 13,067.66 and 2,869.26

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Solution

The fourth proportional to 8,714.66, 13,067.66 and 2,869.26 is: 4,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.66 : 13,067.66 = 2,869.26 : x
  2. Step 2: Convert to fraction form
    8,714.66/13,067.66 = 2,869.26/x
  3. Step 3: Cross multiply
    8,714.66x = 13,067.66 × 2,869.26
  4. Step 4: Simplify right side
    8,714.66x = 37,494,514.13
  5. Step 5: Solve for x
    x = 37,494,514.13/8,714.66
  6. Step 6: Final answer
    x = 4,302.46

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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.