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Finding the Fourth Proportional to 6,981.58, 10,469.60 and 3,083.25

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Solution

The fourth proportional to 6,981.58, 10,469.60 and 3,083.25 is: 4,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.58 : 10,469.60 = 3,083.25 : x
  2. Step 2: Convert to fraction form
    6,981.58/10,469.60 = 3,083.25/x
  3. Step 3: Cross multiply
    6,981.58x = 10,469.60 × 3,083.25
  4. Step 4: Simplify right side
    6,981.58x = 32,280,394.20
  5. Step 5: Solve for x
    x = 32,280,394.20/6,981.58
  6. Step 6: Final answer
    x = 4,623.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.