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Finding the Fourth Proportional to 8,374.80, 12,563.40 and 2,827.20

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Solution

The fourth proportional to 8,374.80, 12,563.40 and 2,827.20 is: 4,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.80 : 12,563.40 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    8,374.80/12,563.40 = 2,827.20/x
  3. Step 3: Cross multiply
    8,374.80x = 12,563.40 × 2,827.20
  4. Step 4: Simplify right side
    8,374.80x = 35,519,244.48
  5. Step 5: Solve for x
    x = 35,519,244.48/8,374.80
  6. Step 6: Final answer
    x = 4,241.21

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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.