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Finding the Fourth Proportional to 8,589.09, 11,858.22 and 6,595.77

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Solution

The fourth proportional to 8,589.09, 11,858.22 and 6,595.77 is: 9,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.09 : 11,858.22 = 6,595.77 : x
  2. Step 2: Convert to fraction form
    8,589.09/11,858.22 = 6,595.77/x
  3. Step 3: Cross multiply
    8,589.09x = 11,858.22 × 6,595.77
  4. Step 4: Simplify right side
    8,589.09x = 78,214,091.73
  5. Step 5: Solve for x
    x = 78,214,091.73/8,589.09
  6. Step 6: Final answer
    x = 9,106.21

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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.