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Finding the Fourth Proportional to 8,128.74, 12,212.55 and 5,212.74

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Solution

The fourth proportional to 8,128.74, 12,212.55 and 5,212.74 is: 7,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.74 : 12,212.55 = 5,212.74 : x
  2. Step 2: Convert to fraction form
    8,128.74/12,212.55 = 5,212.74/x
  3. Step 3: Cross multiply
    8,128.74x = 12,212.55 × 5,212.74
  4. Step 4: Simplify right side
    8,128.74x = 63,660,847.89
  5. Step 5: Solve for x
    x = 63,660,847.89/8,128.74
  6. Step 6: Final answer
    x = 7,831.58

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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.