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Finding the Fourth Proportional to 8,243.07, 11,372.60 and 4,657.61

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Solution

The fourth proportional to 8,243.07, 11,372.60 and 4,657.61 is: 6,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.07 : 11,372.60 = 4,657.61 : x
  2. Step 2: Convert to fraction form
    8,243.07/11,372.60 = 4,657.61/x
  3. Step 3: Cross multiply
    8,243.07x = 11,372.60 × 4,657.61
  4. Step 4: Simplify right side
    8,243.07x = 52,969,055.33
  5. Step 5: Solve for x
    x = 52,969,055.33/8,243.07
  6. Step 6: Final answer
    x = 6,425.89

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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.