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Finding the Fourth Proportional to 8,182.78, 11,293.29 and 4,995.41

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Solution

The fourth proportional to 8,182.78, 11,293.29 and 4,995.41 is: 6,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.78 : 11,293.29 = 4,995.41 : x
  2. Step 2: Convert to fraction form
    8,182.78/11,293.29 = 4,995.41/x
  3. Step 3: Cross multiply
    8,182.78x = 11,293.29 × 4,995.41
  4. Step 4: Simplify right side
    8,182.78x = 56,414,585.57
  5. Step 5: Solve for x
    x = 56,414,585.57/8,182.78
  6. Step 6: Final answer
    x = 6,894.31

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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.