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Finding the Fourth Proportional to 8,145.84, 12,222.30 and 3,989.46

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Solution

The fourth proportional to 8,145.84, 12,222.30 and 3,989.46 is: 5,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.84 : 12,222.30 = 3,989.46 : x
  2. Step 2: Convert to fraction form
    8,145.84/12,222.30 = 3,989.46/x
  3. Step 3: Cross multiply
    8,145.84x = 12,222.30 × 3,989.46
  4. Step 4: Simplify right side
    8,145.84x = 48,760,376.96
  5. Step 5: Solve for x
    x = 48,760,376.96/8,145.84
  6. Step 6: Final answer
    x = 5,985.92

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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.