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Finding the Fourth Proportional to 10,471.12, 14,450.97 and 5,996.29

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Solution

The fourth proportional to 10,471.12, 14,450.97 and 5,996.29 is: 8,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.12 : 14,450.97 = 5,996.29 : x
  2. Step 2: Convert to fraction form
    10,471.12/14,450.97 = 5,996.29/x
  3. Step 3: Cross multiply
    10,471.12x = 14,450.97 × 5,996.29
  4. Step 4: Simplify right side
    10,471.12x = 86,652,206.90
  5. Step 5: Solve for x
    x = 86,652,206.90/10,471.12
  6. Step 6: Final answer
    x = 8,275.35

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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.