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Finding the Fourth Proportional to 27,577.74, 41,373.08 and 7,856.58

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Solution

The fourth proportional to 27,577.74, 41,373.08 and 7,856.58 is: 11,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.74 : 41,373.08 = 7,856.58 : x
  2. Step 2: Convert to fraction form
    27,577.74/41,373.08 = 7,856.58/x
  3. Step 3: Cross multiply
    27,577.74x = 41,373.08 × 7,856.58
  4. Step 4: Simplify right side
    27,577.74x = 325,050,912.87
  5. Step 5: Solve for x
    x = 325,050,912.87/27,577.74
  6. Step 6: Final answer
    x = 11,786.71

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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.