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Finding the Fourth Proportional to 8,132.90, 12,200.70 and 3,202.70

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Solution

The fourth proportional to 8,132.90, 12,200.70 and 3,202.70 is: 4,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.90 : 12,200.70 = 3,202.70 : x
  2. Step 2: Convert to fraction form
    8,132.90/12,200.70 = 3,202.70/x
  3. Step 3: Cross multiply
    8,132.90x = 12,200.70 × 3,202.70
  4. Step 4: Simplify right side
    8,132.90x = 39,075,181.89
  5. Step 5: Solve for x
    x = 39,075,181.89/8,132.90
  6. Step 6: Final answer
    x = 4,804.58

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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.