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Finding the Fourth Proportional to 6,705.69, 10,057.37 and 1,775.82

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Solution

The fourth proportional to 6,705.69, 10,057.37 and 1,775.82 is: 2,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.69 : 10,057.37 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    6,705.69/10,057.37 = 1,775.82/x
  3. Step 3: Cross multiply
    6,705.69x = 10,057.37 × 1,775.82
  4. Step 4: Simplify right side
    6,705.69x = 17,860,107.63
  5. Step 5: Solve for x
    x = 17,860,107.63/6,705.69
  6. Step 6: Final answer
    x = 2,663.43

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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.