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Finding the Fourth Proportional to 11,632.92, 16,056.02 and 7,096.61

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Solution

The fourth proportional to 11,632.92, 16,056.02 and 7,096.61 is: 9,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.92 : 16,056.02 = 7,096.61 : x
  2. Step 2: Convert to fraction form
    11,632.92/16,056.02 = 7,096.61/x
  3. Step 3: Cross multiply
    11,632.92x = 16,056.02 × 7,096.61
  4. Step 4: Simplify right side
    11,632.92x = 113,943,196.33
  5. Step 5: Solve for x
    x = 113,943,196.33/11,632.92
  6. Step 6: Final answer
    x = 9,794.89

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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.