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Finding the Fourth Proportional to 8,082.99, 11,154.42 and 4,546.20

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Solution

The fourth proportional to 8,082.99, 11,154.42 and 4,546.20 is: 6,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.99 : 11,154.42 = 4,546.20 : x
  2. Step 2: Convert to fraction form
    8,082.99/11,154.42 = 4,546.20/x
  3. Step 3: Cross multiply
    8,082.99x = 11,154.42 × 4,546.20
  4. Step 4: Simplify right side
    8,082.99x = 50,710,224.20
  5. Step 5: Solve for x
    x = 50,710,224.20/8,082.99
  6. Step 6: Final answer
    x = 6,273.70

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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.