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Finding the Fourth Proportional to 11,684.96, 17,529.72 and 4,289.48

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Solution

The fourth proportional to 11,684.96, 17,529.72 and 4,289.48 is: 6,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.96 : 17,529.72 = 4,289.48 : x
  2. Step 2: Convert to fraction form
    11,684.96/17,529.72 = 4,289.48/x
  3. Step 3: Cross multiply
    11,684.96x = 17,529.72 × 4,289.48
  4. Step 4: Simplify right side
    11,684.96x = 75,193,383.35
  5. Step 5: Solve for x
    x = 75,193,383.35/11,684.96
  6. Step 6: Final answer
    x = 6,435.06

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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.