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Finding the Fourth Proportional to 11,811.38, 16,289.76 and 7,094.74

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Solution

The fourth proportional to 11,811.38, 16,289.76 and 7,094.74 is: 9,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.38 : 16,289.76 = 7,094.74 : x
  2. Step 2: Convert to fraction form
    11,811.38/16,289.76 = 7,094.74/x
  3. Step 3: Cross multiply
    11,811.38x = 16,289.76 × 7,094.74
  4. Step 4: Simplify right side
    11,811.38x = 115,571,611.86
  5. Step 5: Solve for x
    x = 115,571,611.86/11,811.38
  6. Step 6: Final answer
    x = 9,784.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.