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Finding the Fourth Proportional to 10,271.12, 15,408.99 and 3,697.34

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Solution

The fourth proportional to 10,271.12, 15,408.99 and 3,697.34 is: 5,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.12 : 15,408.99 = 3,697.34 : x
  2. Step 2: Convert to fraction form
    10,271.12/15,408.99 = 3,697.34/x
  3. Step 3: Cross multiply
    10,271.12x = 15,408.99 × 3,697.34
  4. Step 4: Simplify right side
    10,271.12x = 56,972,198.04
  5. Step 5: Solve for x
    x = 56,972,198.04/10,271.12
  6. Step 6: Final answer
    x = 5,546.84

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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.