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Finding the Fourth Proportional to 27,578.98, 41,374.96 and 7,857.82

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Solution

The fourth proportional to 27,578.98, 41,374.96 and 7,857.82 is: 11,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.98 : 41,374.96 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    27,578.98/41,374.96 = 7,857.82/x
  3. Step 3: Cross multiply
    27,578.98x = 41,374.96 × 7,857.82
  4. Step 4: Simplify right side
    27,578.98x = 325,116,988.19
  5. Step 5: Solve for x
    x = 325,116,988.19/27,578.98
  6. Step 6: Final answer
    x = 11,788.58

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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.