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Finding the Fourth Proportional to 10,164.28, 15,238.34 and 6,676

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Solution

The fourth proportional to 10,164.28, 15,238.34 and 6,676 is: 10,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.28 : 15,238.34 = 6,676 : x
  2. Step 2: Convert to fraction form
    10,164.28/15,238.34 = 6,676/x
  3. Step 3: Cross multiply
    10,164.28x = 15,238.34 × 6,676
  4. Step 4: Simplify right side
    10,164.28x = 101,731,157.84
  5. Step 5: Solve for x
    x = 101,731,157.84/10,164.28
  6. Step 6: Final answer
    x = 10,008.69

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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.