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Finding the Fourth Proportional to 8,270.67, 11,412.18 and 5,082.93

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Solution

The fourth proportional to 8,270.67, 11,412.18 and 5,082.93 is: 7,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.67 : 11,412.18 = 5,082.93 : x
  2. Step 2: Convert to fraction form
    8,270.67/11,412.18 = 5,082.93/x
  3. Step 3: Cross multiply
    8,270.67x = 11,412.18 × 5,082.93
  4. Step 4: Simplify right side
    8,270.67x = 58,007,312.09
  5. Step 5: Solve for x
    x = 58,007,312.09/8,270.67
  6. Step 6: Final answer
    x = 7,013.62

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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.