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Finding the Fourth Proportional to 8,576.49, 12,886.26 and 5,457.85

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Solution

The fourth proportional to 8,576.49, 12,886.26 and 5,457.85 is: 8,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.49 : 12,886.26 = 5,457.85 : x
  2. Step 2: Convert to fraction form
    8,576.49/12,886.26 = 5,457.85/x
  3. Step 3: Cross multiply
    8,576.49x = 12,886.26 × 5,457.85
  4. Step 4: Simplify right side
    8,576.49x = 70,331,274.14
  5. Step 5: Solve for x
    x = 70,331,274.14/8,576.49
  6. Step 6: Final answer
    x = 8,200.47

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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.