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Finding the Fourth Proportional to 10,994.94, 16,492.88 and 3,203.76

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Solution

The fourth proportional to 10,994.94, 16,492.88 and 3,203.76 is: 4,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.94 : 16,492.88 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    10,994.94/16,492.88 = 3,203.76/x
  3. Step 3: Cross multiply
    10,994.94x = 16,492.88 × 3,203.76
  4. Step 4: Simplify right side
    10,994.94x = 52,839,229.23
  5. Step 5: Solve for x
    x = 52,839,229.23/10,994.94
  6. Step 6: Final answer
    x = 4,805.78

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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.