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Finding the Fourth Proportional to 8,457.75, 12,689.55 and 3,194.28

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Solution

The fourth proportional to 8,457.75, 12,689.55 and 3,194.28 is: 4,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.75 : 12,689.55 = 3,194.28 : x
  2. Step 2: Convert to fraction form
    8,457.75/12,689.55 = 3,194.28/x
  3. Step 3: Cross multiply
    8,457.75x = 12,689.55 × 3,194.28
  4. Step 4: Simplify right side
    8,457.75x = 40,533,975.77
  5. Step 5: Solve for x
    x = 40,533,975.77/8,457.75
  6. Step 6: Final answer
    x = 4,792.52

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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.