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Finding the Fourth Proportional to 8,457.92, 12,682.87 and 2,532.52

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Solution

The fourth proportional to 8,457.92, 12,682.87 and 2,532.52 is: 3,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.92 : 12,682.87 = 2,532.52 : x
  2. Step 2: Convert to fraction form
    8,457.92/12,682.87 = 2,532.52/x
  3. Step 3: Cross multiply
    8,457.92x = 12,682.87 × 2,532.52
  4. Step 4: Simplify right side
    8,457.92x = 32,119,583.89
  5. Step 5: Solve for x
    x = 32,119,583.89/8,457.92
  6. Step 6: Final answer
    x = 3,797.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.