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Finding the Fourth Proportional to 25,884, 38,832.48 and 7,416

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Solution

The fourth proportional to 25,884, 38,832.48 and 7,416 is: 11,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884 : 38,832.48 = 7,416 : x
  2. Step 2: Convert to fraction form
    25,884/38,832.48 = 7,416/x
  3. Step 3: Cross multiply
    25,884x = 38,832.48 × 7,416
  4. Step 4: Simplify right side
    25,884x = 287,981,671.68
  5. Step 5: Solve for x
    x = 287,981,671.68/25,884
  6. Step 6: Final answer
    x = 11,125.86

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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.