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Finding the Fourth Proportional to 7,126.56, 10,692 and 2,968.56

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Solution

The fourth proportional to 7,126.56, 10,692 and 2,968.56 is: 4,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.56 : 10,692 = 2,968.56 : x
  2. Step 2: Convert to fraction form
    7,126.56/10,692 = 2,968.56/x
  3. Step 3: Cross multiply
    7,126.56x = 10,692 × 2,968.56
  4. Step 4: Simplify right side
    7,126.56x = 31,739,843.52
  5. Step 5: Solve for x
    x = 31,739,843.52/7,126.56
  6. Step 6: Final answer
    x = 4,453.74

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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.