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Finding the Fourth Proportional to 11,216.37, 16,825.37 and 4,549.67

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Solution

The fourth proportional to 11,216.37, 16,825.37 and 4,549.67 is: 6,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.37 : 16,825.37 = 4,549.67 : x
  2. Step 2: Convert to fraction form
    11,216.37/16,825.37 = 4,549.67/x
  3. Step 3: Cross multiply
    11,216.37x = 16,825.37 × 4,549.67
  4. Step 4: Simplify right side
    11,216.37x = 76,549,774.25
  5. Step 5: Solve for x
    x = 76,549,774.25/11,216.37
  6. Step 6: Final answer
    x = 6,824.83

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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.