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Finding the Fourth Proportional to 11,627.78, 17,448 and 5,053.94

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Solution

The fourth proportional to 11,627.78, 17,448 and 5,053.94 is: 7,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.78 : 17,448 = 5,053.94 : x
  2. Step 2: Convert to fraction form
    11,627.78/17,448 = 5,053.94/x
  3. Step 3: Cross multiply
    11,627.78x = 17,448 × 5,053.94
  4. Step 4: Simplify right side
    11,627.78x = 88,181,145.12
  5. Step 5: Solve for x
    x = 88,181,145.12/11,627.78
  6. Step 6: Final answer
    x = 7,583.66

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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.