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Finding the Fourth Proportional to 11,921.88, 17,883 and 4,130.85

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Solution

The fourth proportional to 11,921.88, 17,883 and 4,130.85 is: 6,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.88 : 17,883 = 4,130.85 : x
  2. Step 2: Convert to fraction form
    11,921.88/17,883 = 4,130.85/x
  3. Step 3: Cross multiply
    11,921.88x = 17,883 × 4,130.85
  4. Step 4: Simplify right side
    11,921.88x = 73,871,990.55
  5. Step 5: Solve for x
    x = 73,871,990.55/11,921.88
  6. Step 6: Final answer
    x = 6,196.34

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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.