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Finding the Fourth Proportional to 8,257, 12,387.12 and 3,640

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Solution

The fourth proportional to 8,257, 12,387.12 and 3,640 is: 5,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 12,387.12 = 3,640 : x
  2. Step 2: Convert to fraction form
    8,257/12,387.12 = 3,640/x
  3. Step 3: Cross multiply
    8,257x = 12,387.12 × 3,640
  4. Step 4: Simplify right side
    8,257x = 45,089,116.80
  5. Step 5: Solve for x
    x = 45,089,116.80/8,257
  6. Step 6: Final answer
    x = 5,460.71

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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.