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Finding the Fourth Proportional to 8,674.56, 13,013.55 and 2,829.60

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Solution

The fourth proportional to 8,674.56, 13,013.55 and 2,829.60 is: 4,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.56 : 13,013.55 = 2,829.60 : x
  2. Step 2: Convert to fraction form
    8,674.56/13,013.55 = 2,829.60/x
  3. Step 3: Cross multiply
    8,674.56x = 13,013.55 × 2,829.60
  4. Step 4: Simplify right side
    8,674.56x = 36,823,141.08
  5. Step 5: Solve for x
    x = 36,823,141.08/8,674.56
  6. Step 6: Final answer
    x = 4,244.96

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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.