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Finding the Fourth Proportional to 8,467.35, 11,684.49 and 4,690.32

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Solution

The fourth proportional to 8,467.35, 11,684.49 and 4,690.32 is: 6,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.35 : 11,684.49 = 4,690.32 : x
  2. Step 2: Convert to fraction form
    8,467.35/11,684.49 = 4,690.32/x
  3. Step 3: Cross multiply
    8,467.35x = 11,684.49 × 4,690.32
  4. Step 4: Simplify right side
    8,467.35x = 54,803,997.14
  5. Step 5: Solve for x
    x = 54,803,997.14/8,467.35
  6. Step 6: Final answer
    x = 6,472.39

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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.