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Finding the Fourth Proportional to 8,202.96, 12,297.06 and 3,271.50

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Solution

The fourth proportional to 8,202.96, 12,297.06 and 3,271.50 is: 4,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.96 : 12,297.06 = 3,271.50 : x
  2. Step 2: Convert to fraction form
    8,202.96/12,297.06 = 3,271.50/x
  3. Step 3: Cross multiply
    8,202.96x = 12,297.06 × 3,271.50
  4. Step 4: Simplify right side
    8,202.96x = 40,229,831.79
  5. Step 5: Solve for x
    x = 40,229,831.79/8,202.96
  6. Step 6: Final answer
    x = 4,904.31

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Why These Related Problems?

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