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Finding the Fourth Proportional to 8,489.54, 12,733.50 and 2,943.02

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Solution

The fourth proportional to 8,489.54, 12,733.50 and 2,943.02 is: 4,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.54 : 12,733.50 = 2,943.02 : x
  2. Step 2: Convert to fraction form
    8,489.54/12,733.50 = 2,943.02/x
  3. Step 3: Cross multiply
    8,489.54x = 12,733.50 × 2,943.02
  4. Step 4: Simplify right side
    8,489.54x = 37,474,945.17
  5. Step 5: Solve for x
    x = 37,474,945.17/8,489.54
  6. Step 6: Final answer
    x = 4,414.25

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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.