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Finding the Fourth Proportional to 7,321.70, 10,982.55 and 3,166.40

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Solution

The fourth proportional to 7,321.70, 10,982.55 and 3,166.40 is: 4,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.70 : 10,982.55 = 3,166.40 : x
  2. Step 2: Convert to fraction form
    7,321.70/10,982.55 = 3,166.40/x
  3. Step 3: Cross multiply
    7,321.70x = 10,982.55 × 3,166.40
  4. Step 4: Simplify right side
    7,321.70x = 34,775,146.32
  5. Step 5: Solve for x
    x = 34,775,146.32/7,321.70
  6. Step 6: Final answer
    x = 4,749.60

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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.