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Finding the Fourth Proportional to 27,894.61, 41,841.89 and 7,118.11

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Solution

The fourth proportional to 27,894.61, 41,841.89 and 7,118.11 is: 10,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.61 : 41,841.89 = 7,118.11 : x
  2. Step 2: Convert to fraction form
    27,894.61/41,841.89 = 7,118.11/x
  3. Step 3: Cross multiply
    27,894.61x = 41,841.89 × 7,118.11
  4. Step 4: Simplify right side
    27,894.61x = 297,834,930.83
  5. Step 5: Solve for x
    x = 297,834,930.83/27,894.61
  6. Step 6: Final answer
    x = 10,677.15

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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.