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Finding the Fourth Proportional to 11,806.32, 16,293.36 and 7,094.64

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Solution

The fourth proportional to 11,806.32, 16,293.36 and 7,094.64 is: 9,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.32 : 16,293.36 = 7,094.64 : x
  2. Step 2: Convert to fraction form
    11,806.32/16,293.36 = 7,094.64/x
  3. Step 3: Cross multiply
    11,806.32x = 16,293.36 × 7,094.64
  4. Step 4: Simplify right side
    11,806.32x = 115,595,523.59
  5. Step 5: Solve for x
    x = 115,595,523.59/11,806.32
  6. Step 6: Final answer
    x = 9,790.99

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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.