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Finding the Fourth Proportional to 11,819.12, 16,311.07 and 6,783.35

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Solution

The fourth proportional to 11,819.12, 16,311.07 and 6,783.35 is: 9,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.12 : 16,311.07 = 6,783.35 : x
  2. Step 2: Convert to fraction form
    11,819.12/16,311.07 = 6,783.35/x
  3. Step 3: Cross multiply
    11,819.12x = 16,311.07 × 6,783.35
  4. Step 4: Simplify right side
    11,819.12x = 110,643,623.61
  5. Step 5: Solve for x
    x = 110,643,623.61/11,819.12
  6. Step 6: Final answer
    x = 9,361.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.