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Finding the Fourth Proportional to 11,818.53, 16,309.94 and 6,783.67

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Solution

The fourth proportional to 11,818.53, 16,309.94 and 6,783.67 is: 9,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.53 : 16,309.94 = 6,783.67 : x
  2. Step 2: Convert to fraction form
    11,818.53/16,309.94 = 6,783.67/x
  3. Step 3: Cross multiply
    11,818.53x = 16,309.94 × 6,783.67
  4. Step 4: Simplify right side
    11,818.53x = 110,641,250.68
  5. Step 5: Solve for x
    x = 110,641,250.68/11,818.53
  6. Step 6: Final answer
    x = 9,361.68

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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.