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Finding the Fourth Proportional to 8,309.22, 11,467.98 and 5,166.42

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Solution

The fourth proportional to 8,309.22, 11,467.98 and 5,166.42 is: 7,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.22 : 11,467.98 = 5,166.42 : x
  2. Step 2: Convert to fraction form
    8,309.22/11,467.98 = 5,166.42/x
  3. Step 3: Cross multiply
    8,309.22x = 11,467.98 × 5,166.42
  4. Step 4: Simplify right side
    8,309.22x = 59,248,401.23
  5. Step 5: Solve for x
    x = 59,248,401.23/8,309.22
  6. Step 6: Final answer
    x = 7,130.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.