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Finding the Fourth Proportional to 11,961.96, 16,506.68 and 7,485.50

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Solution

The fourth proportional to 11,961.96, 16,506.68 and 7,485.50 is: 10,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.96 : 16,506.68 = 7,485.50 : x
  2. Step 2: Convert to fraction form
    11,961.96/16,506.68 = 7,485.50/x
  3. Step 3: Cross multiply
    11,961.96x = 16,506.68 × 7,485.50
  4. Step 4: Simplify right side
    11,961.96x = 123,560,753.14
  5. Step 5: Solve for x
    x = 123,560,753.14/11,961.96
  6. Step 6: Final answer
    x = 10,329.47

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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.