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Finding the Fourth Proportional to 12,311.08, 16,994.58 and 8,533.48

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Solution

The fourth proportional to 12,311.08, 16,994.58 and 8,533.48 is: 11,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.08 : 16,994.58 = 8,533.48 : x
  2. Step 2: Convert to fraction form
    12,311.08/16,994.58 = 8,533.48/x
  3. Step 3: Cross multiply
    12,311.08x = 16,994.58 × 8,533.48
  4. Step 4: Simplify right side
    12,311.08x = 145,022,908.54
  5. Step 5: Solve for x
    x = 145,022,908.54/12,311.08
  6. Step 6: Final answer
    x = 11,779.87

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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.