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Finding the Fourth Proportional to 8,589.33, 11,877.14 and 6,817.86

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Solution

The fourth proportional to 8,589.33, 11,877.14 and 6,817.86 is: 9,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.33 : 11,877.14 = 6,817.86 : x
  2. Step 2: Convert to fraction form
    8,589.33/11,877.14 = 6,817.86/x
  3. Step 3: Cross multiply
    8,589.33x = 11,877.14 × 6,817.86
  4. Step 4: Simplify right side
    8,589.33x = 80,976,643.63
  5. Step 5: Solve for x
    x = 80,976,643.63/8,589.33
  6. Step 6: Final answer
    x = 9,427.59

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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.