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Finding the Fourth Proportional to 10,670.81, 14,732.03 and 7,694.33

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Solution

The fourth proportional to 10,670.81, 14,732.03 and 7,694.33 is: 10,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.81 : 14,732.03 = 7,694.33 : x
  2. Step 2: Convert to fraction form
    10,670.81/14,732.03 = 7,694.33/x
  3. Step 3: Cross multiply
    10,670.81x = 14,732.03 × 7,694.33
  4. Step 4: Simplify right side
    10,670.81x = 113,353,100.39
  5. Step 5: Solve for x
    x = 113,353,100.39/10,670.81
  6. Step 6: Final answer
    x = 10,622.73

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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.