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Finding the Fourth Proportional to 11,887.88, 16,403.60 and 6,851.70

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Solution

The fourth proportional to 11,887.88, 16,403.60 and 6,851.70 is: 9,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.88 : 16,403.60 = 6,851.70 : x
  2. Step 2: Convert to fraction form
    11,887.88/16,403.60 = 6,851.70/x
  3. Step 3: Cross multiply
    11,887.88x = 16,403.60 × 6,851.70
  4. Step 4: Simplify right side
    11,887.88x = 112,392,546.12
  5. Step 5: Solve for x
    x = 112,392,546.12/11,887.88
  6. Step 6: Final answer
    x = 9,454.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.