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Finding the Fourth Proportional to 11,505.52, 17,254.02 and 4,108

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Solution

The fourth proportional to 11,505.52, 17,254.02 and 4,108 is: 6,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.52 : 17,254.02 = 4,108 : x
  2. Step 2: Convert to fraction form
    11,505.52/17,254.02 = 4,108/x
  3. Step 3: Cross multiply
    11,505.52x = 17,254.02 × 4,108
  4. Step 4: Simplify right side
    11,505.52x = 70,879,514.16
  5. Step 5: Solve for x
    x = 70,879,514.16/11,505.52
  6. Step 6: Final answer
    x = 6,160.48

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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.