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Finding the Fourth Proportional to 7,634.82, 10,537.08 and 4,278.96

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Solution

The fourth proportional to 7,634.82, 10,537.08 and 4,278.96 is: 5,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.82 : 10,537.08 = 4,278.96 : x
  2. Step 2: Convert to fraction form
    7,634.82/10,537.08 = 4,278.96/x
  3. Step 3: Cross multiply
    7,634.82x = 10,537.08 × 4,278.96
  4. Step 4: Simplify right side
    7,634.82x = 45,087,743.84
  5. Step 5: Solve for x
    x = 45,087,743.84/7,634.82
  6. Step 6: Final answer
    x = 5,905.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.