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Finding the Fourth Proportional to 8,511.33, 12,762.89 and 2,964.55

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Solution

The fourth proportional to 8,511.33, 12,762.89 and 2,964.55 is: 4,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.33 : 12,762.89 = 2,964.55 : x
  2. Step 2: Convert to fraction form
    8,511.33/12,762.89 = 2,964.55/x
  3. Step 3: Cross multiply
    8,511.33x = 12,762.89 × 2,964.55
  4. Step 4: Simplify right side
    8,511.33x = 37,836,186.23
  5. Step 5: Solve for x
    x = 37,836,186.23/8,511.33
  6. Step 6: Final answer
    x = 4,445.39

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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.