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Finding the Fourth Proportional to 7,467.54, 10,305.36 and 4,110.36

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Solution

The fourth proportional to 7,467.54, 10,305.36 and 4,110.36 is: 5,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.54 : 10,305.36 = 4,110.36 : x
  2. Step 2: Convert to fraction form
    7,467.54/10,305.36 = 4,110.36/x
  3. Step 3: Cross multiply
    7,467.54x = 10,305.36 × 4,110.36
  4. Step 4: Simplify right side
    7,467.54x = 42,358,739.53
  5. Step 5: Solve for x
    x = 42,358,739.53/7,467.54
  6. Step 6: Final answer
    x = 5,672.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.