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Finding the Fourth Proportional to 8,017, 11,063.46 and 4,872.60

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Solution

The fourth proportional to 8,017, 11,063.46 and 4,872.60 is: 6,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017 : 11,063.46 = 4,872.60 : x
  2. Step 2: Convert to fraction form
    8,017/11,063.46 = 4,872.60/x
  3. Step 3: Cross multiply
    8,017x = 11,063.46 × 4,872.60
  4. Step 4: Simplify right side
    8,017x = 53,907,815.20
  5. Step 5: Solve for x
    x = 53,907,815.20/8,017
  6. Step 6: Final answer
    x = 6,724.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.