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Finding the Fourth Proportional to 7,643.38, 11,461.40 and 2,965.56

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Solution

The fourth proportional to 7,643.38, 11,461.40 and 2,965.56 is: 4,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.38 : 11,461.40 = 2,965.56 : x
  2. Step 2: Convert to fraction form
    7,643.38/11,461.40 = 2,965.56/x
  3. Step 3: Cross multiply
    7,643.38x = 11,461.40 × 2,965.56
  4. Step 4: Simplify right side
    7,643.38x = 33,989,469.38
  5. Step 5: Solve for x
    x = 33,989,469.38/7,643.38
  6. Step 6: Final answer
    x = 4,446.92

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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.