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Finding the Fourth Proportional to 8,540.25, 12,812.54 and 2,384.25

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Solution

The fourth proportional to 8,540.25, 12,812.54 and 2,384.25 is: 3,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.25 : 12,812.54 = 2,384.25 : x
  2. Step 2: Convert to fraction form
    8,540.25/12,812.54 = 2,384.25/x
  3. Step 3: Cross multiply
    8,540.25x = 12,812.54 × 2,384.25
  4. Step 4: Simplify right side
    8,540.25x = 30,548,298.50
  5. Step 5: Solve for x
    x = 30,548,298.50/8,540.25
  6. Step 6: Final answer
    x = 3,576.98

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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.