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Finding the Fourth Proportional to 8,544.96, 12,819.96 and 2,541.21

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Solution

The fourth proportional to 8,544.96, 12,819.96 and 2,541.21 is: 3,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.96 : 12,819.96 = 2,541.21 : x
  2. Step 2: Convert to fraction form
    8,544.96/12,819.96 = 2,541.21/x
  3. Step 3: Cross multiply
    8,544.96x = 12,819.96 × 2,541.21
  4. Step 4: Simplify right side
    8,544.96x = 32,578,210.55
  5. Step 5: Solve for x
    x = 32,578,210.55/8,544.96
  6. Step 6: Final answer
    x = 3,812.56

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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.