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Finding the Fourth Proportional to 11,783.87, 17,665.86 and 5,115.34

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Solution

The fourth proportional to 11,783.87, 17,665.86 and 5,115.34 is: 7,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.87 : 17,665.86 = 5,115.34 : x
  2. Step 2: Convert to fraction form
    11,783.87/17,665.86 = 5,115.34/x
  3. Step 3: Cross multiply
    11,783.87x = 17,665.86 × 5,115.34
  4. Step 4: Simplify right side
    11,783.87x = 90,366,921.56
  5. Step 5: Solve for x
    x = 90,366,921.56/11,783.87
  6. Step 6: Final answer
    x = 7,668.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.