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Finding the Fourth Proportional to 8,344.50, 11,513.57 and 4,986.80

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Solution

The fourth proportional to 8,344.50, 11,513.57 and 4,986.80 is: 6,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.50 : 11,513.57 = 4,986.80 : x
  2. Step 2: Convert to fraction form
    8,344.50/11,513.57 = 4,986.80/x
  3. Step 3: Cross multiply
    8,344.50x = 11,513.57 × 4,986.80
  4. Step 4: Simplify right side
    8,344.50x = 57,415,788.37
  5. Step 5: Solve for x
    x = 57,415,788.37/8,344.50
  6. Step 6: Final answer
    x = 6,880.67

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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.