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Finding the Fourth Proportional to 12,415.50, 17,137.38 and 7,951.28

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Solution

The fourth proportional to 12,415.50, 17,137.38 and 7,951.28 is: 10,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.50 : 17,137.38 = 7,951.28 : x
  2. Step 2: Convert to fraction form
    12,415.50/17,137.38 = 7,951.28/x
  3. Step 3: Cross multiply
    12,415.50x = 17,137.38 × 7,951.28
  4. Step 4: Simplify right side
    12,415.50x = 136,264,106.85
  5. Step 5: Solve for x
    x = 136,264,106.85/12,415.50
  6. Step 6: Final answer
    x = 10,975.32

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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.