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Finding the Fourth Proportional to 6,961.96, 10,435.63 and 3,261.17

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Solution

The fourth proportional to 6,961.96, 10,435.63 and 3,261.17 is: 4,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.96 : 10,435.63 = 3,261.17 : x
  2. Step 2: Convert to fraction form
    6,961.96/10,435.63 = 3,261.17/x
  3. Step 3: Cross multiply
    6,961.96x = 10,435.63 × 3,261.17
  4. Step 4: Simplify right side
    6,961.96x = 34,032,363.49
  5. Step 5: Solve for x
    x = 34,032,363.49/6,961.96
  6. Step 6: Final answer
    x = 4,888.33

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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.