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Finding the Fourth Proportional to 8,497.80, 12,743.10 and 4,116.60

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Solution

The fourth proportional to 8,497.80, 12,743.10 and 4,116.60 is: 6,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.80 : 12,743.10 = 4,116.60 : x
  2. Step 2: Convert to fraction form
    8,497.80/12,743.10 = 4,116.60/x
  3. Step 3: Cross multiply
    8,497.80x = 12,743.10 × 4,116.60
  4. Step 4: Simplify right side
    8,497.80x = 52,458,245.46
  5. Step 5: Solve for x
    x = 52,458,245.46/8,497.80
  6. Step 6: Final answer
    x = 6,173.16

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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.