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Finding the Fourth Proportional to 11,383.96, 15,685.50 and 7,651.48

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Solution

The fourth proportional to 11,383.96, 15,685.50 and 7,651.48 is: 10,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.96 : 15,685.50 = 7,651.48 : x
  2. Step 2: Convert to fraction form
    11,383.96/15,685.50 = 7,651.48/x
  3. Step 3: Cross multiply
    11,383.96x = 15,685.50 × 7,651.48
  4. Step 4: Simplify right side
    11,383.96x = 120,017,289.54
  5. Step 5: Solve for x
    x = 120,017,289.54/11,383.96
  6. Step 6: Final answer
    x = 10,542.67

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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.