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Finding the Fourth Proportional to 27,865.76, 41,797.76 and 7,876.58

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Solution

The fourth proportional to 27,865.76, 41,797.76 and 7,876.58 is: 11,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.76 : 41,797.76 = 7,876.58 : x
  2. Step 2: Convert to fraction form
    27,865.76/41,797.76 = 7,876.58/x
  3. Step 3: Cross multiply
    27,865.76x = 41,797.76 × 7,876.58
  4. Step 4: Simplify right side
    27,865.76x = 329,223,152.09
  5. Step 5: Solve for x
    x = 329,223,152.09/27,865.76
  6. Step 6: Final answer
    x = 11,814.61

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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.