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Finding the Fourth Proportional to 11,683.44, 17,525.16 and 5,107.86

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Solution

The fourth proportional to 11,683.44, 17,525.16 and 5,107.86 is: 7,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.44 : 17,525.16 = 5,107.86 : x
  2. Step 2: Convert to fraction form
    11,683.44/17,525.16 = 5,107.86/x
  3. Step 3: Cross multiply
    11,683.44x = 17,525.16 × 5,107.86
  4. Step 4: Simplify right side
    11,683.44x = 89,516,063.76
  5. Step 5: Solve for x
    x = 89,516,063.76/11,683.44
  6. Step 6: Final answer
    x = 7,661.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.