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Finding the Fourth Proportional to 11,485.23, 15,849.11 and 6,449.37

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Solution

The fourth proportional to 11,485.23, 15,849.11 and 6,449.37 is: 8,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.23 : 15,849.11 = 6,449.37 : x
  2. Step 2: Convert to fraction form
    11,485.23/15,849.11 = 6,449.37/x
  3. Step 3: Cross multiply
    11,485.23x = 15,849.11 × 6,449.37
  4. Step 4: Simplify right side
    11,485.23x = 102,216,742.31
  5. Step 5: Solve for x
    x = 102,216,742.31/11,485.23
  6. Step 6: Final answer
    x = 8,899.84

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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.