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Finding the Fourth Proportional to 10,428.27, 14,394.03 and 5,954.46

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Solution

The fourth proportional to 10,428.27, 14,394.03 and 5,954.46 is: 8,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.27 : 14,394.03 = 5,954.46 : x
  2. Step 2: Convert to fraction form
    10,428.27/14,394.03 = 5,954.46/x
  3. Step 3: Cross multiply
    10,428.27x = 14,394.03 × 5,954.46
  4. Step 4: Simplify right side
    10,428.27x = 85,708,675.87
  5. Step 5: Solve for x
    x = 85,708,675.87/10,428.27
  6. Step 6: Final answer
    x = 8,218.88

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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.