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Finding the Fourth Proportional to 8,466.88, 11,684.37 and 4,930.42

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Solution

The fourth proportional to 8,466.88, 11,684.37 and 4,930.42 is: 6,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.88 : 11,684.37 = 4,930.42 : x
  2. Step 2: Convert to fraction form
    8,466.88/11,684.37 = 4,930.42/x
  3. Step 3: Cross multiply
    8,466.88x = 11,684.37 × 4,930.42
  4. Step 4: Simplify right side
    8,466.88x = 57,608,851.54
  5. Step 5: Solve for x
    x = 57,608,851.54/8,466.88
  6. Step 6: Final answer
    x = 6,804.02

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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.