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Finding the Fourth Proportional to 8,202.98, 12,307.20 and 3,271.28

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Solution

The fourth proportional to 8,202.98, 12,307.20 and 3,271.28 is: 4,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.98 : 12,307.20 = 3,271.28 : x
  2. Step 2: Convert to fraction form
    8,202.98/12,307.20 = 3,271.28/x
  3. Step 3: Cross multiply
    8,202.98x = 12,307.20 × 3,271.28
  4. Step 4: Simplify right side
    8,202.98x = 40,260,297.22
  5. Step 5: Solve for x
    x = 40,260,297.22/8,202.98
  6. Step 6: Final answer
    x = 4,908.01

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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.