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Finding the Fourth Proportional to 27,894.29, 41,841.42 and 7,117.79

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Solution

The fourth proportional to 27,894.29, 41,841.42 and 7,117.79 is: 10,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.29 : 41,841.42 = 7,117.79 : x
  2. Step 2: Convert to fraction form
    27,894.29/41,841.42 = 7,117.79/x
  3. Step 3: Cross multiply
    27,894.29x = 41,841.42 × 7,117.79
  4. Step 4: Simplify right side
    27,894.29x = 297,818,231.65
  5. Step 5: Solve for x
    x = 297,818,231.65/27,894.29
  6. Step 6: Final answer
    x = 10,676.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.