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Finding the Fourth Proportional to 8,110.21, 11,192.12 and 4,573.42

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Solution

The fourth proportional to 8,110.21, 11,192.12 and 4,573.42 is: 6,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.21 : 11,192.12 = 4,573.42 : x
  2. Step 2: Convert to fraction form
    8,110.21/11,192.12 = 4,573.42/x
  3. Step 3: Cross multiply
    8,110.21x = 11,192.12 × 4,573.42
  4. Step 4: Simplify right side
    8,110.21x = 51,186,265.45
  5. Step 5: Solve for x
    x = 51,186,265.45/8,110.21
  6. Step 6: Final answer
    x = 6,311.34

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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.