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Finding the Fourth Proportional to 10,082.16, 15,097.73 and 5,384.97

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Solution

The fourth proportional to 10,082.16, 15,097.73 and 5,384.97 is: 8,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.16 : 15,097.73 = 5,384.97 : x
  2. Step 2: Convert to fraction form
    10,082.16/15,097.73 = 5,384.97/x
  3. Step 3: Cross multiply
    10,082.16x = 15,097.73 × 5,384.97
  4. Step 4: Simplify right side
    10,082.16x = 81,300,796.19
  5. Step 5: Solve for x
    x = 81,300,796.19/10,082.16
  6. Step 6: Final answer
    x = 8,063.83

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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.