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Finding the Fourth Proportional to 11,729.60, 16,082.91 and 11,581.98

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Solution

The fourth proportional to 11,729.60, 16,082.91 and 11,581.98 is: 15,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.60 : 16,082.91 = 11,581.98 : x
  2. Step 2: Convert to fraction form
    11,729.60/16,082.91 = 11,581.98/x
  3. Step 3: Cross multiply
    11,729.60x = 16,082.91 × 11,581.98
  4. Step 4: Simplify right side
    11,729.60x = 186,271,941.96
  5. Step 5: Solve for x
    x = 186,271,941.96/11,729.60
  6. Step 6: Final answer
    x = 15,880.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.