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Finding the Fourth Proportional to 8,085.83, 12,128.72 and 2,539.65

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Solution

The fourth proportional to 8,085.83, 12,128.72 and 2,539.65 is: 3,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.83 : 12,128.72 = 2,539.65 : x
  2. Step 2: Convert to fraction form
    8,085.83/12,128.72 = 2,539.65/x
  3. Step 3: Cross multiply
    8,085.83x = 12,128.72 × 2,539.65
  4. Step 4: Simplify right side
    8,085.83x = 30,802,691.05
  5. Step 5: Solve for x
    x = 30,802,691.05/8,085.83
  6. Step 6: Final answer
    x = 3,809.47

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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.