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Finding the Fourth Proportional to 11,347.52, 16,978.48 and 10,196.48

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Solution

The fourth proportional to 11,347.52, 16,978.48 and 10,196.48 is: 15,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.52 : 16,978.48 = 10,196.48 : x
  2. Step 2: Convert to fraction form
    11,347.52/16,978.48 = 10,196.48/x
  3. Step 3: Cross multiply
    11,347.52x = 16,978.48 × 10,196.48
  4. Step 4: Simplify right side
    11,347.52x = 173,120,731.75
  5. Step 5: Solve for x
    x = 173,120,731.75/11,347.52
  6. Step 6: Final answer
    x = 15,256.26

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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.