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Finding the Fourth Proportional to 11,641.92, 16,064.91 and 8,112.75

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Solution

The fourth proportional to 11,641.92, 16,064.91 and 8,112.75 is: 11,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.92 : 16,064.91 = 8,112.75 : x
  2. Step 2: Convert to fraction form
    11,641.92/16,064.91 = 8,112.75/x
  3. Step 3: Cross multiply
    11,641.92x = 16,064.91 × 8,112.75
  4. Step 4: Simplify right side
    11,641.92x = 130,330,598.60
  5. Step 5: Solve for x
    x = 130,330,598.60/11,641.92
  6. Step 6: Final answer
    x = 11,194.94

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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.