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Finding the Fourth Proportional to 8,493.58, 12,730.65 and 3,295

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Solution

The fourth proportional to 8,493.58, 12,730.65 and 3,295 is: 4,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.58 : 12,730.65 = 3,295 : x
  2. Step 2: Convert to fraction form
    8,493.58/12,730.65 = 3,295/x
  3. Step 3: Cross multiply
    8,493.58x = 12,730.65 × 3,295
  4. Step 4: Simplify right side
    8,493.58x = 41,947,491.75
  5. Step 5: Solve for x
    x = 41,947,491.75/8,493.58
  6. Step 6: Final answer
    x = 4,938.73

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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.