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Finding the Fourth Proportional to 11,973.56, 16,538.32 and 8,452.50

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Solution

The fourth proportional to 11,973.56, 16,538.32 and 8,452.50 is: 11,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.56 : 16,538.32 = 8,452.50 : x
  2. Step 2: Convert to fraction form
    11,973.56/16,538.32 = 8,452.50/x
  3. Step 3: Cross multiply
    11,973.56x = 16,538.32 × 8,452.50
  4. Step 4: Simplify right side
    11,973.56x = 139,790,149.80
  5. Step 5: Solve for x
    x = 139,790,149.80/11,973.56
  6. Step 6: Final answer
    x = 11,674.90

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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.