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Finding the Fourth Proportional to 7,151.78, 10,726.52 and 1,956.44

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Solution

The fourth proportional to 7,151.78, 10,726.52 and 1,956.44 is: 2,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.78 : 10,726.52 = 1,956.44 : x
  2. Step 2: Convert to fraction form
    7,151.78/10,726.52 = 1,956.44/x
  3. Step 3: Cross multiply
    7,151.78x = 10,726.52 × 1,956.44
  4. Step 4: Simplify right side
    7,151.78x = 20,985,729.37
  5. Step 5: Solve for x
    x = 20,985,729.37/7,151.78
  6. Step 6: Final answer
    x = 2,934.34

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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.