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Finding the Fourth Proportional to 10,204.81, 14,082.26 and 5,728.82

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Solution

The fourth proportional to 10,204.81, 14,082.26 and 5,728.82 is: 7,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.81 : 14,082.26 = 5,728.82 : x
  2. Step 2: Convert to fraction form
    10,204.81/14,082.26 = 5,728.82/x
  3. Step 3: Cross multiply
    10,204.81x = 14,082.26 × 5,728.82
  4. Step 4: Simplify right side
    10,204.81x = 80,674,633.68
  5. Step 5: Solve for x
    x = 80,674,633.68/10,204.81
  6. Step 6: Final answer
    x = 7,905.55

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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.