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Finding the Fourth Proportional to 11,743.50, 16,206.52 and 6,438.52

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Solution

The fourth proportional to 11,743.50, 16,206.52 and 6,438.52 is: 8,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.50 : 16,206.52 = 6,438.52 : x
  2. Step 2: Convert to fraction form
    11,743.50/16,206.52 = 6,438.52/x
  3. Step 3: Cross multiply
    11,743.50x = 16,206.52 × 6,438.52
  4. Step 4: Simplify right side
    11,743.50x = 104,346,003.15
  5. Step 5: Solve for x
    x = 104,346,003.15/11,743.50
  6. Step 6: Final answer
    x = 8,885.43

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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.