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Finding the Fourth Proportional to 12,472.52, 17,215.38 and 7,754.12

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Solution

The fourth proportional to 12,472.52, 17,215.38 and 7,754.12 is: 10,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.52 : 17,215.38 = 7,754.12 : x
  2. Step 2: Convert to fraction form
    12,472.52/17,215.38 = 7,754.12/x
  3. Step 3: Cross multiply
    12,472.52x = 17,215.38 × 7,754.12
  4. Step 4: Simplify right side
    12,472.52x = 133,490,122.37
  5. Step 5: Solve for x
    x = 133,490,122.37/12,472.52
  6. Step 6: Final answer
    x = 10,702.74

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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.