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Finding the Fourth Proportional to 10,082.18, 13,912.62 and 5,606.12

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Solution

The fourth proportional to 10,082.18, 13,912.62 and 5,606.12 is: 7,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.18 : 13,912.62 = 5,606.12 : x
  2. Step 2: Convert to fraction form
    10,082.18/13,912.62 = 5,606.12/x
  3. Step 3: Cross multiply
    10,082.18x = 13,912.62 × 5,606.12
  4. Step 4: Simplify right side
    10,082.18x = 77,995,817.23
  5. Step 5: Solve for x
    x = 77,995,817.23/10,082.18
  6. Step 6: Final answer
    x = 7,736.01

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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.