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Finding the Fourth Proportional to 11,188.68, 16,783.02 and 10,942.67

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Solution

The fourth proportional to 11,188.68, 16,783.02 and 10,942.67 is: 16,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.68 : 16,783.02 = 10,942.67 : x
  2. Step 2: Convert to fraction form
    11,188.68/16,783.02 = 10,942.67/x
  3. Step 3: Cross multiply
    11,188.68x = 16,783.02 × 10,942.67
  4. Step 4: Simplify right side
    11,188.68x = 183,650,965.55
  5. Step 5: Solve for x
    x = 183,650,965.55/11,188.68
  6. Step 6: Final answer
    x = 16,414.00

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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.