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Finding the Fourth Proportional to 8,432.59, 12,649.50 and 3,238.47

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Solution

The fourth proportional to 8,432.59, 12,649.50 and 3,238.47 is: 4,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.59 : 12,649.50 = 3,238.47 : x
  2. Step 2: Convert to fraction form
    8,432.59/12,649.50 = 3,238.47/x
  3. Step 3: Cross multiply
    8,432.59x = 12,649.50 × 3,238.47
  4. Step 4: Simplify right side
    8,432.59x = 40,965,026.27
  5. Step 5: Solve for x
    x = 40,965,026.27/8,432.59
  6. Step 6: Final answer
    x = 4,857.94

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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.