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Finding the Fourth Proportional to 11,642.46, 17,456.04 and 4,245.54

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Solution

The fourth proportional to 11,642.46, 17,456.04 and 4,245.54 is: 6,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.46 : 17,456.04 = 4,245.54 : x
  2. Step 2: Convert to fraction form
    11,642.46/17,456.04 = 4,245.54/x
  3. Step 3: Cross multiply
    11,642.46x = 17,456.04 × 4,245.54
  4. Step 4: Simplify right side
    11,642.46x = 74,110,316.06
  5. Step 5: Solve for x
    x = 74,110,316.06/11,642.46
  6. Step 6: Final answer
    x = 6,365.52

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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.