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Finding the Fourth Proportional to 11,749.46, 17,589.56 and 10,291.46

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Solution

The fourth proportional to 11,749.46, 17,589.56 and 10,291.46 is: 15,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.46 : 17,589.56 = 10,291.46 : x
  2. Step 2: Convert to fraction form
    11,749.46/17,589.56 = 10,291.46/x
  3. Step 3: Cross multiply
    11,749.46x = 17,589.56 × 10,291.46
  4. Step 4: Simplify right side
    11,749.46x = 181,022,113.75
  5. Step 5: Solve for x
    x = 181,022,113.75/11,749.46
  6. Step 6: Final answer
    x = 15,406.85

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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.