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Finding the Fourth Proportional to 8,672.43, 13,009.86 and 2,827.56

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Solution

The fourth proportional to 8,672.43, 13,009.86 and 2,827.56 is: 4,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.43 : 13,009.86 = 2,827.56 : x
  2. Step 2: Convert to fraction form
    8,672.43/13,009.86 = 2,827.56/x
  3. Step 3: Cross multiply
    8,672.43x = 13,009.86 × 2,827.56
  4. Step 4: Simplify right side
    8,672.43x = 36,786,159.74
  5. Step 5: Solve for x
    x = 36,786,159.74/8,672.43
  6. Step 6: Final answer
    x = 4,241.74

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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.