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Finding the Fourth Proportional to 11,968.85, 16,512.73 and 6,930.32

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Solution

The fourth proportional to 11,968.85, 16,512.73 and 6,930.32 is: 9,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.85 : 16,512.73 = 6,930.32 : x
  2. Step 2: Convert to fraction form
    11,968.85/16,512.73 = 6,930.32/x
  3. Step 3: Cross multiply
    11,968.85x = 16,512.73 × 6,930.32
  4. Step 4: Simplify right side
    11,968.85x = 114,438,385.76
  5. Step 5: Solve for x
    x = 114,438,385.76/11,968.85
  6. Step 6: Final answer
    x = 9,561.36

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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.