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Finding the Fourth Proportional to 8,589.97, 11,853.46 and 4,812.83

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Solution

The fourth proportional to 8,589.97, 11,853.46 and 4,812.83 is: 6,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.97 : 11,853.46 = 4,812.83 : x
  2. Step 2: Convert to fraction form
    8,589.97/11,853.46 = 4,812.83/x
  3. Step 3: Cross multiply
    8,589.97x = 11,853.46 × 4,812.83
  4. Step 4: Simplify right side
    8,589.97x = 57,048,687.89
  5. Step 5: Solve for x
    x = 57,048,687.89/8,589.97
  6. Step 6: Final answer
    x = 6,641.31

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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.