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Finding the Fourth Proportional to 11,496.48, 17,234.52 and 6,804.96

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Solution

The fourth proportional to 11,496.48, 17,234.52 and 6,804.96 is: 10,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.48 : 17,234.52 = 6,804.96 : x
  2. Step 2: Convert to fraction form
    11,496.48/17,234.52 = 6,804.96/x
  3. Step 3: Cross multiply
    11,496.48x = 17,234.52 × 6,804.96
  4. Step 4: Simplify right side
    11,496.48x = 117,280,219.22
  5. Step 5: Solve for x
    x = 117,280,219.22/11,496.48
  6. Step 6: Final answer
    x = 10,201.40

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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.