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Finding the Fourth Proportional to 10,676.28, 14,738.97 and 7,145.49

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Solution

The fourth proportional to 10,676.28, 14,738.97 and 7,145.49 is: 9,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.28 : 14,738.97 = 7,145.49 : x
  2. Step 2: Convert to fraction form
    10,676.28/14,738.97 = 7,145.49/x
  3. Step 3: Cross multiply
    10,676.28x = 14,738.97 × 7,145.49
  4. Step 4: Simplify right side
    10,676.28x = 105,317,162.75
  5. Step 5: Solve for x
    x = 105,317,162.75/10,676.28
  6. Step 6: Final answer
    x = 9,864.59

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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.