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Finding the Fourth Proportional to 7,600.56, 11,378 and 6,127.44

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Solution

The fourth proportional to 7,600.56, 11,378 and 6,127.44 is: 9,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.56 : 11,378 = 6,127.44 : x
  2. Step 2: Convert to fraction form
    7,600.56/11,378 = 6,127.44/x
  3. Step 3: Cross multiply
    7,600.56x = 11,378 × 6,127.44
  4. Step 4: Simplify right side
    7,600.56x = 69,718,012.32
  5. Step 5: Solve for x
    x = 69,718,012.32/7,600.56
  6. Step 6: Final answer
    x = 9,172.75

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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.