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Finding the Fourth Proportional to 10,804.67, 14,910.42 and 5,836.67

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Solution

The fourth proportional to 10,804.67, 14,910.42 and 5,836.67 is: 8,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.67 : 14,910.42 = 5,836.67 : x
  2. Step 2: Convert to fraction form
    10,804.67/14,910.42 = 5,836.67/x
  3. Step 3: Cross multiply
    10,804.67x = 14,910.42 × 5,836.67
  4. Step 4: Simplify right side
    10,804.67x = 87,027,201.10
  5. Step 5: Solve for x
    x = 87,027,201.10/10,804.67
  6. Step 6: Final answer
    x = 8,054.59

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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.