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Finding the Fourth Proportional to 7,809.75, 11,714.64 and 3,192.75

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Solution

The fourth proportional to 7,809.75, 11,714.64 and 3,192.75 is: 4,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.75 : 11,714.64 = 3,192.75 : x
  2. Step 2: Convert to fraction form
    7,809.75/11,714.64 = 3,192.75/x
  3. Step 3: Cross multiply
    7,809.75x = 11,714.64 × 3,192.75
  4. Step 4: Simplify right side
    7,809.75x = 37,401,916.86
  5. Step 5: Solve for x
    x = 37,401,916.86/7,809.75
  6. Step 6: Final answer
    x = 4,789.13

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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.