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Finding the Fourth Proportional to 12,751.92, 19,124.16 and 4,958.88

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Solution

The fourth proportional to 12,751.92, 19,124.16 and 4,958.88 is: 7,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.92 : 19,124.16 = 4,958.88 : x
  2. Step 2: Convert to fraction form
    12,751.92/19,124.16 = 4,958.88/x
  3. Step 3: Cross multiply
    12,751.92x = 19,124.16 × 4,958.88
  4. Step 4: Simplify right side
    12,751.92x = 94,834,414.54
  5. Step 5: Solve for x
    x = 94,834,414.54/12,751.92
  6. Step 6: Final answer
    x = 7,436.87

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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.