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Finding the Fourth Proportional to 8,138.34, 12,207.50 and 2,943

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Solution

The fourth proportional to 8,138.34, 12,207.50 and 2,943 is: 4,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.34 : 12,207.50 = 2,943 : x
  2. Step 2: Convert to fraction form
    8,138.34/12,207.50 = 2,943/x
  3. Step 3: Cross multiply
    8,138.34x = 12,207.50 × 2,943
  4. Step 4: Simplify right side
    8,138.34x = 35,926,672.50
  5. Step 5: Solve for x
    x = 35,926,672.50/8,138.34
  6. Step 6: Final answer
    x = 4,414.50

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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.