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Finding the Fourth Proportional to 27,968.26, 41,952.78 and 7,191.76

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Solution

The fourth proportional to 27,968.26, 41,952.78 and 7,191.76 is: 10,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.26 : 41,952.78 = 7,191.76 : x
  2. Step 2: Convert to fraction form
    27,968.26/41,952.78 = 7,191.76/x
  3. Step 3: Cross multiply
    27,968.26x = 41,952.78 × 7,191.76
  4. Step 4: Simplify right side
    27,968.26x = 301,714,325.09
  5. Step 5: Solve for x
    x = 301,714,325.09/27,968.26
  6. Step 6: Final answer
    x = 10,787.74

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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.