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Finding the Fourth Proportional to 6,519.06, 8,993.92 and 4,282.14

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Solution

The fourth proportional to 6,519.06, 8,993.92 and 4,282.14 is: 5,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.06 : 8,993.92 = 4,282.14 : x
  2. Step 2: Convert to fraction form
    6,519.06/8,993.92 = 4,282.14/x
  3. Step 3: Cross multiply
    6,519.06x = 8,993.92 × 4,282.14
  4. Step 4: Simplify right side
    6,519.06x = 38,513,224.59
  5. Step 5: Solve for x
    x = 38,513,224.59/6,519.06
  6. Step 6: Final answer
    x = 5,907.79

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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.