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Finding the Fourth Proportional to 8,085.68, 12,128.52 and 2,891.24

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Solution

The fourth proportional to 8,085.68, 12,128.52 and 2,891.24 is: 4,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.68 : 12,128.52 = 2,891.24 : x
  2. Step 2: Convert to fraction form
    8,085.68/12,128.52 = 2,891.24/x
  3. Step 3: Cross multiply
    8,085.68x = 12,128.52 × 2,891.24
  4. Step 4: Simplify right side
    8,085.68x = 35,066,462.16
  5. Step 5: Solve for x
    x = 35,066,462.16/8,085.68
  6. Step 6: Final answer
    x = 4,336.86

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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.