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Finding the Fourth Proportional to 7,544.54, 11,270.44 and 5,446.64

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Solution

The fourth proportional to 7,544.54, 11,270.44 and 5,446.64 is: 8,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.54 : 11,270.44 = 5,446.64 : x
  2. Step 2: Convert to fraction form
    7,544.54/11,270.44 = 5,446.64/x
  3. Step 3: Cross multiply
    7,544.54x = 11,270.44 × 5,446.64
  4. Step 4: Simplify right side
    7,544.54x = 61,386,029.32
  5. Step 5: Solve for x
    x = 61,386,029.32/7,544.54
  6. Step 6: Final answer
    x = 8,136.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.