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Finding the Fourth Proportional to 8,723.75, 13,085.50 and 2,149.94

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Solution

The fourth proportional to 8,723.75, 13,085.50 and 2,149.94 is: 3,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.75 : 13,085.50 = 2,149.94 : x
  2. Step 2: Convert to fraction form
    8,723.75/13,085.50 = 2,149.94/x
  3. Step 3: Cross multiply
    8,723.75x = 13,085.50 × 2,149.94
  4. Step 4: Simplify right side
    8,723.75x = 28,133,071.24
  5. Step 5: Solve for x
    x = 28,133,071.24/8,723.75
  6. Step 6: Final answer
    x = 3,224.88

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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.