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Finding the Fourth Proportional to 27,894.11, 41,841.14 and 7,117.61

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Solution

The fourth proportional to 27,894.11, 41,841.14 and 7,117.61 is: 10,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.11 : 41,841.14 = 7,117.61 : x
  2. Step 2: Convert to fraction form
    27,894.11/41,841.14 = 7,117.61/x
  3. Step 3: Cross multiply
    27,894.11x = 41,841.14 × 7,117.61
  4. Step 4: Simplify right side
    27,894.11x = 297,808,671.68
  5. Step 5: Solve for x
    x = 297,808,671.68/27,894.11
  6. Step 6: Final answer
    x = 10,676.40

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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.