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Finding the Fourth Proportional to 27,895.11, 41,842.63 and 7,118.61

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Solution

The fourth proportional to 27,895.11, 41,842.63 and 7,118.61 is: 10,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.11 : 41,842.63 = 7,118.61 : x
  2. Step 2: Convert to fraction form
    27,895.11/41,842.63 = 7,118.61/x
  3. Step 3: Cross multiply
    27,895.11x = 41,842.63 × 7,118.61
  4. Step 4: Simplify right side
    27,895.11x = 297,861,364.34
  5. Step 5: Solve for x
    x = 297,861,364.34/27,895.11
  6. Step 6: Final answer
    x = 10,677.91

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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.