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Finding the Fourth Proportional to 27,693.86, 41,534.58 and 7,968.02

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Solution

The fourth proportional to 27,693.86, 41,534.58 and 7,968.02 is: 11,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.86 : 41,534.58 = 7,968.02 : x
  2. Step 2: Convert to fraction form
    27,693.86/41,534.58 = 7,968.02/x
  3. Step 3: Cross multiply
    27,693.86x = 41,534.58 × 7,968.02
  4. Step 4: Simplify right side
    27,693.86x = 330,948,364.13
  5. Step 5: Solve for x
    x = 330,948,364.13/27,693.86
  6. Step 6: Final answer
    x = 11,950.24

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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.