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Finding the Fourth Proportional to 11,405.34, 15,741 and 8,226.90

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Solution

The fourth proportional to 11,405.34, 15,741 and 8,226.90 is: 11,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.34 : 15,741 = 8,226.90 : x
  2. Step 2: Convert to fraction form
    11,405.34/15,741 = 8,226.90/x
  3. Step 3: Cross multiply
    11,405.34x = 15,741 × 8,226.90
  4. Step 4: Simplify right side
    11,405.34x = 129,499,632.90
  5. Step 5: Solve for x
    x = 129,499,632.90/11,405.34
  6. Step 6: Final answer
    x = 11,354.30

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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.