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Finding the Fourth Proportional to 27,782.34, 41,666.10 and 7,790.73

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Solution

The fourth proportional to 27,782.34, 41,666.10 and 7,790.73 is: 11,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.34 : 41,666.10 = 7,790.73 : x
  2. Step 2: Convert to fraction form
    27,782.34/41,666.10 = 7,790.73/x
  3. Step 3: Cross multiply
    27,782.34x = 41,666.10 × 7,790.73
  4. Step 4: Simplify right side
    27,782.34x = 324,609,335.25
  5. Step 5: Solve for x
    x = 324,609,335.25/27,782.34
  6. Step 6: Final answer
    x = 11,684.02

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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.