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Finding the Fourth Proportional to 11,883.30, 16,402.59 and 6,850.88

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Solution

The fourth proportional to 11,883.30, 16,402.59 and 6,850.88 is: 9,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.30 : 16,402.59 = 6,850.88 : x
  2. Step 2: Convert to fraction form
    11,883.30/16,402.59 = 6,850.88/x
  3. Step 3: Cross multiply
    11,883.30x = 16,402.59 × 6,850.88
  4. Step 4: Simplify right side
    11,883.30x = 112,372,155.28
  5. Step 5: Solve for x
    x = 112,372,155.28/11,883.30
  6. Step 6: Final answer
    x = 9,456.31

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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.