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Finding the Fourth Proportional to 11,795.76, 17,699.76 and 5,226.48

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Solution

The fourth proportional to 11,795.76, 17,699.76 and 5,226.48 is: 7,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.76 : 17,699.76 = 5,226.48 : x
  2. Step 2: Convert to fraction form
    11,795.76/17,699.76 = 5,226.48/x
  3. Step 3: Cross multiply
    11,795.76x = 17,699.76 × 5,226.48
  4. Step 4: Simplify right side
    11,795.76x = 92,507,441.64
  5. Step 5: Solve for x
    x = 92,507,441.64/11,795.76
  6. Step 6: Final answer
    x = 7,842.43

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Why These Related Problems?

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