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Finding the Fourth Proportional to 27,577.73, 41,373.08 and 7,856.57

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Solution

The fourth proportional to 27,577.73, 41,373.08 and 7,856.57 is: 11,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.73 : 41,373.08 = 7,856.57 : x
  2. Step 2: Convert to fraction form
    27,577.73/41,373.08 = 7,856.57/x
  3. Step 3: Cross multiply
    27,577.73x = 41,373.08 × 7,856.57
  4. Step 4: Simplify right side
    27,577.73x = 325,050,459.85
  5. Step 5: Solve for x
    x = 325,050,459.85/27,577.73
  6. Step 6: Final answer
    x = 11,786.70

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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.