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Finding the Fourth Proportional to 11,161.42, 15,402.63 and 6,125.68

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Solution

The fourth proportional to 11,161.42, 15,402.63 and 6,125.68 is: 8,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.42 : 15,402.63 = 6,125.68 : x
  2. Step 2: Convert to fraction form
    11,161.42/15,402.63 = 6,125.68/x
  3. Step 3: Cross multiply
    11,161.42x = 15,402.63 × 6,125.68
  4. Step 4: Simplify right side
    11,161.42x = 94,351,582.54
  5. Step 5: Solve for x
    x = 94,351,582.54/11,161.42
  6. Step 6: Final answer
    x = 8,453.37

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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.