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Finding the Fourth Proportional to 11,414.48, 15,749.11 and 6,697.85

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Solution

The fourth proportional to 11,414.48, 15,749.11 and 6,697.85 is: 9,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.48 : 15,749.11 = 6,697.85 : x
  2. Step 2: Convert to fraction form
    11,414.48/15,749.11 = 6,697.85/x
  3. Step 3: Cross multiply
    11,414.48x = 15,749.11 × 6,697.85
  4. Step 4: Simplify right side
    11,414.48x = 105,485,176.41
  5. Step 5: Solve for x
    x = 105,485,176.41/11,414.48
  6. Step 6: Final answer
    x = 9,241.35

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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.