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Finding the Fourth Proportional to 8,195.36, 12,297.28 and 3,811.52

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Solution

The fourth proportional to 8,195.36, 12,297.28 and 3,811.52 is: 5,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.36 : 12,297.28 = 3,811.52 : x
  2. Step 2: Convert to fraction form
    8,195.36/12,297.28 = 3,811.52/x
  3. Step 3: Cross multiply
    8,195.36x = 12,297.28 × 3,811.52
  4. Step 4: Simplify right side
    8,195.36x = 46,871,328.67
  5. Step 5: Solve for x
    x = 46,871,328.67/8,195.36
  6. Step 6: Final answer
    x = 5,719.25

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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.