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Finding the Fourth Proportional to 11,486.90, 17,234.40 and 4,091.60

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Solution

The fourth proportional to 11,486.90, 17,234.40 and 4,091.60 is: 6,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.90 : 17,234.40 = 4,091.60 : x
  2. Step 2: Convert to fraction form
    11,486.90/17,234.40 = 4,091.60/x
  3. Step 3: Cross multiply
    11,486.90x = 17,234.40 × 4,091.60
  4. Step 4: Simplify right side
    11,486.90x = 70,516,271.04
  5. Step 5: Solve for x
    x = 70,516,271.04/11,486.90
  6. Step 6: Final answer
    x = 6,138.84

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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.