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Finding the Fourth Proportional to 8,498.26, 11,728.40 and 5,141.90

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Solution

The fourth proportional to 8,498.26, 11,728.40 and 5,141.90 is: 7,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.26 : 11,728.40 = 5,141.90 : x
  2. Step 2: Convert to fraction form
    8,498.26/11,728.40 = 5,141.90/x
  3. Step 3: Cross multiply
    8,498.26x = 11,728.40 × 5,141.90
  4. Step 4: Simplify right side
    8,498.26x = 60,306,259.96
  5. Step 5: Solve for x
    x = 60,306,259.96/8,498.26
  6. Step 6: Final answer
    x = 7,096.31

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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.