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Finding the Fourth Proportional to 8,147.76, 11,243.40 and 4,611.36

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Solution

The fourth proportional to 8,147.76, 11,243.40 and 4,611.36 is: 6,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.76 : 11,243.40 = 4,611.36 : x
  2. Step 2: Convert to fraction form
    8,147.76/11,243.40 = 4,611.36/x
  3. Step 3: Cross multiply
    8,147.76x = 11,243.40 × 4,611.36
  4. Step 4: Simplify right side
    8,147.76x = 51,847,365.02
  5. Step 5: Solve for x
    x = 51,847,365.02/8,147.76
  6. Step 6: Final answer
    x = 6,363.39

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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.