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Finding the Fourth Proportional to 8,054.69, 12,082.33 and 2,508.51

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Solution

The fourth proportional to 8,054.69, 12,082.33 and 2,508.51 is: 3,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.69 : 12,082.33 = 2,508.51 : x
  2. Step 2: Convert to fraction form
    8,054.69/12,082.33 = 2,508.51/x
  3. Step 3: Cross multiply
    8,054.69x = 12,082.33 × 2,508.51
  4. Step 4: Simplify right side
    8,054.69x = 30,308,694.07
  5. Step 5: Solve for x
    x = 30,308,694.07/8,054.69
  6. Step 6: Final answer
    x = 3,762.87

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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.