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Finding the Fourth Proportional to 8,590.09, 11,765.49 and 8,085.73

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Solution

The fourth proportional to 8,590.09, 11,765.49 and 8,085.73 is: 11,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.09 : 11,765.49 = 8,085.73 : x
  2. Step 2: Convert to fraction form
    8,590.09/11,765.49 = 8,085.73/x
  3. Step 3: Cross multiply
    8,590.09x = 11,765.49 × 8,085.73
  4. Step 4: Simplify right side
    8,590.09x = 95,132,575.46
  5. Step 5: Solve for x
    x = 95,132,575.46/8,590.09
  6. Step 6: Final answer
    x = 11,074.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.