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Finding the Fourth Proportional to 8,193.37, 11,306.86 and 4,657.26

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Solution

The fourth proportional to 8,193.37, 11,306.86 and 4,657.26 is: 6,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.37 : 11,306.86 = 4,657.26 : x
  2. Step 2: Convert to fraction form
    8,193.37/11,306.86 = 4,657.26/x
  3. Step 3: Cross multiply
    8,193.37x = 11,306.86 × 4,657.26
  4. Step 4: Simplify right side
    8,193.37x = 52,658,986.80
  5. Step 5: Solve for x
    x = 52,658,986.80/8,193.37
  6. Step 6: Final answer
    x = 6,427.02

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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.