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Finding the Fourth Proportional to 11,358.34, 15,665.63 and 7,380.73

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Solution

The fourth proportional to 11,358.34, 15,665.63 and 7,380.73 is: 10,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.34 : 15,665.63 = 7,380.73 : x
  2. Step 2: Convert to fraction form
    11,358.34/15,665.63 = 7,380.73/x
  3. Step 3: Cross multiply
    11,358.34x = 15,665.63 × 7,380.73
  4. Step 4: Simplify right side
    11,358.34x = 115,623,709.24
  5. Step 5: Solve for x
    x = 115,623,709.24/11,358.34
  6. Step 6: Final answer
    x = 10,179.63

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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.