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Finding the Fourth Proportional to 11,811.78, 16,300.26 and 7,096.05

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Solution

The fourth proportional to 11,811.78, 16,300.26 and 7,096.05 is: 9,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.78 : 16,300.26 = 7,096.05 : x
  2. Step 2: Convert to fraction form
    11,811.78/16,300.26 = 7,096.05/x
  3. Step 3: Cross multiply
    11,811.78x = 16,300.26 × 7,096.05
  4. Step 4: Simplify right side
    11,811.78x = 115,667,459.97
  5. Step 5: Solve for x
    x = 115,667,459.97/11,811.78
  6. Step 6: Final answer
    x = 9,792.55

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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.