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Finding the Fourth Proportional to 8,112.35, 11,193.49 and 4,966.31

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Solution

The fourth proportional to 8,112.35, 11,193.49 and 4,966.31 is: 6,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.35 : 11,193.49 = 4,966.31 : x
  2. Step 2: Convert to fraction form
    8,112.35/11,193.49 = 4,966.31/x
  3. Step 3: Cross multiply
    8,112.35x = 11,193.49 × 4,966.31
  4. Step 4: Simplify right side
    8,112.35x = 55,590,375.51
  5. Step 5: Solve for x
    x = 55,590,375.51/8,112.35
  6. Step 6: Final answer
    x = 6,852.56

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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.