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Finding the Fourth Proportional to 8,374.63, 12,553.17 and 2,826.07

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Solution

The fourth proportional to 8,374.63, 12,553.17 and 2,826.07 is: 4,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.63 : 12,553.17 = 2,826.07 : x
  2. Step 2: Convert to fraction form
    8,374.63/12,553.17 = 2,826.07/x
  3. Step 3: Cross multiply
    8,374.63x = 12,553.17 × 2,826.07
  4. Step 4: Simplify right side
    8,374.63x = 35,476,137.14
  5. Step 5: Solve for x
    x = 35,476,137.14/8,374.63
  6. Step 6: Final answer
    x = 4,236.14

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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.