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Finding the Fourth Proportional to 11,756.52, 16,245.02 and 8,743.82

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Solution

The fourth proportional to 11,756.52, 16,245.02 and 8,743.82 is: 12,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.52 : 16,245.02 = 8,743.82 : x
  2. Step 2: Convert to fraction form
    11,756.52/16,245.02 = 8,743.82/x
  3. Step 3: Cross multiply
    11,756.52x = 16,245.02 × 8,743.82
  4. Step 4: Simplify right side
    11,756.52x = 142,043,405.83
  5. Step 5: Solve for x
    x = 142,043,405.83/11,756.52
  6. Step 6: Final answer
    x = 12,082.10

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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.