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Finding the Fourth Proportional to 11,656.58, 16,091.46 and 6,874.90

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Solution

The fourth proportional to 11,656.58, 16,091.46 and 6,874.90 is: 9,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.58 : 16,091.46 = 6,874.90 : x
  2. Step 2: Convert to fraction form
    11,656.58/16,091.46 = 6,874.90/x
  3. Step 3: Cross multiply
    11,656.58x = 16,091.46 × 6,874.90
  4. Step 4: Simplify right side
    11,656.58x = 110,627,138.13
  5. Step 5: Solve for x
    x = 110,627,138.13/11,656.58
  6. Step 6: Final answer
    x = 9,490.54

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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.