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Finding the Fourth Proportional to 8,344.80, 12,523.50 and 5,706

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Solution

The fourth proportional to 8,344.80, 12,523.50 and 5,706 is: 8,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.80 : 12,523.50 = 5,706 : x
  2. Step 2: Convert to fraction form
    8,344.80/12,523.50 = 5,706/x
  3. Step 3: Cross multiply
    8,344.80x = 12,523.50 × 5,706
  4. Step 4: Simplify right side
    8,344.80x = 71,459,091
  5. Step 5: Solve for x
    x = 71,459,091/8,344.80
  6. Step 6: Final answer
    x = 8,563.31

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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.