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Finding the Fourth Proportional to 8,228.41, 12,339.69 and 2,383.81

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Solution

The fourth proportional to 8,228.41, 12,339.69 and 2,383.81 is: 3,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.41 : 12,339.69 = 2,383.81 : x
  2. Step 2: Convert to fraction form
    8,228.41/12,339.69 = 2,383.81/x
  3. Step 3: Cross multiply
    8,228.41x = 12,339.69 × 2,383.81
  4. Step 4: Simplify right side
    8,228.41x = 29,415,476.42
  5. Step 5: Solve for x
    x = 29,415,476.42/8,228.41
  6. Step 6: Final answer
    x = 3,574.87

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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.