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Finding the Fourth Proportional to 12,517.38, 17,276.02 and 7,211.30

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Solution

The fourth proportional to 12,517.38, 17,276.02 and 7,211.30 is: 9,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.38 : 17,276.02 = 7,211.30 : x
  2. Step 2: Convert to fraction form
    12,517.38/17,276.02 = 7,211.30/x
  3. Step 3: Cross multiply
    12,517.38x = 17,276.02 × 7,211.30
  4. Step 4: Simplify right side
    12,517.38x = 124,582,563.03
  5. Step 5: Solve for x
    x = 124,582,563.03/12,517.38
  6. Step 6: Final answer
    x = 9,952.77

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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.