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Finding the Fourth Proportional to 8,051.25, 11,105.11 and 7,780.31

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Solution

The fourth proportional to 8,051.25, 11,105.11 and 7,780.31 is: 10,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.25 : 11,105.11 = 7,780.31 : x
  2. Step 2: Convert to fraction form
    8,051.25/11,105.11 = 7,780.31/x
  3. Step 3: Cross multiply
    8,051.25x = 11,105.11 × 7,780.31
  4. Step 4: Simplify right side
    8,051.25x = 86,401,172.35
  5. Step 5: Solve for x
    x = 86,401,172.35/8,051.25
  6. Step 6: Final answer
    x = 10,731.39

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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.