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Finding the Fourth Proportional to 6,705.82, 10,058.52 and 1,775.50

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Solution

The fourth proportional to 6,705.82, 10,058.52 and 1,775.50 is: 2,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.82 : 10,058.52 = 1,775.50 : x
  2. Step 2: Convert to fraction form
    6,705.82/10,058.52 = 1,775.50/x
  3. Step 3: Cross multiply
    6,705.82x = 10,058.52 × 1,775.50
  4. Step 4: Simplify right side
    6,705.82x = 17,858,902.26
  5. Step 5: Solve for x
    x = 17,858,902.26/6,705.82
  6. Step 6: Final answer
    x = 2,663.19

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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.