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Finding the Fourth Proportional to 6,839.11, 10,280.07 and 4,514.06

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Solution

The fourth proportional to 6,839.11, 10,280.07 and 4,514.06 is: 6,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.11 : 10,280.07 = 4,514.06 : x
  2. Step 2: Convert to fraction form
    6,839.11/10,280.07 = 4,514.06/x
  3. Step 3: Cross multiply
    6,839.11x = 10,280.07 × 4,514.06
  4. Step 4: Simplify right side
    6,839.11x = 46,404,801.38
  5. Step 5: Solve for x
    x = 46,404,801.38/6,839.11
  6. Step 6: Final answer
    x = 6,785.22

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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.