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Finding the Fourth Proportional to 11,825.68, 17,749.44 and 5,986.40

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Solution

The fourth proportional to 11,825.68, 17,749.44 and 5,986.40 is: 8,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.68 : 17,749.44 = 5,986.40 : x
  2. Step 2: Convert to fraction form
    11,825.68/17,749.44 = 5,986.40/x
  3. Step 3: Cross multiply
    11,825.68x = 17,749.44 × 5,986.40
  4. Step 4: Simplify right side
    11,825.68x = 106,255,247.62
  5. Step 5: Solve for x
    x = 106,255,247.62/11,825.68
  6. Step 6: Final answer
    x = 8,985.13

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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.