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Finding the Fourth Proportional to 11,596.88, 16,021.08 and 8,072.24

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Solution

The fourth proportional to 11,596.88, 16,021.08 and 8,072.24 is: 11,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.88 : 16,021.08 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    11,596.88/16,021.08 = 8,072.24/x
  3. Step 3: Cross multiply
    11,596.88x = 16,021.08 × 8,072.24
  4. Step 4: Simplify right side
    11,596.88x = 129,326,002.82
  5. Step 5: Solve for x
    x = 129,326,002.82/11,596.88
  6. Step 6: Final answer
    x = 11,151.79

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1.5x scale

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.