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Finding the Fourth Proportional to 8,192.84, 12,289.28 and 2,995.88

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Solution

The fourth proportional to 8,192.84, 12,289.28 and 2,995.88 is: 4,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.84 : 12,289.28 = 2,995.88 : x
  2. Step 2: Convert to fraction form
    8,192.84/12,289.28 = 2,995.88/x
  3. Step 3: Cross multiply
    8,192.84x = 12,289.28 × 2,995.88
  4. Step 4: Simplify right side
    8,192.84x = 36,817,208.17
  5. Step 5: Solve for x
    x = 36,817,208.17/8,192.84
  6. Step 6: Final answer
    x = 4,493.83

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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.