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Finding the Fourth Proportional to 27,856.01, 41,778.80 and 7,860.57

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Solution

The fourth proportional to 27,856.01, 41,778.80 and 7,860.57 is: 11,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.01 : 41,778.80 = 7,860.57 : x
  2. Step 2: Convert to fraction form
    27,856.01/41,778.80 = 7,860.57/x
  3. Step 3: Cross multiply
    27,856.01x = 41,778.80 × 7,860.57
  4. Step 4: Simplify right side
    27,856.01x = 328,405,142.61
  5. Step 5: Solve for x
    x = 328,405,142.61/27,856.01
  6. Step 6: Final answer
    x = 11,789.38

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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.