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Finding the Fourth Proportional to 27,573.98, 41,367.45 and 7,852.82

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Solution

The fourth proportional to 27,573.98, 41,367.45 and 7,852.82 is: 11,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.98 : 41,367.45 = 7,852.82 : x
  2. Step 2: Convert to fraction form
    27,573.98/41,367.45 = 7,852.82/x
  3. Step 3: Cross multiply
    27,573.98x = 41,367.45 × 7,852.82
  4. Step 4: Simplify right side
    27,573.98x = 324,851,138.71
  5. Step 5: Solve for x
    x = 324,851,138.71/27,573.98
  6. Step 6: Final answer
    x = 11,781.08

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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.