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Finding the Fourth Proportional to 11,624.44, 16,041.89 and 6,319.26

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Solution

The fourth proportional to 11,624.44, 16,041.89 and 6,319.26 is: 8,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.44 : 16,041.89 = 6,319.26 : x
  2. Step 2: Convert to fraction form
    11,624.44/16,041.89 = 6,319.26/x
  3. Step 3: Cross multiply
    11,624.44x = 16,041.89 × 6,319.26
  4. Step 4: Simplify right side
    11,624.44x = 101,372,873.80
  5. Step 5: Solve for x
    x = 101,372,873.80/11,624.44
  6. Step 6: Final answer
    x = 8,720.67

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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.