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Finding the Fourth Proportional to 27,981.93, 41,974.53 and 7,989.88

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Solution

The fourth proportional to 27,981.93, 41,974.53 and 7,989.88 is: 11,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.93 : 41,974.53 = 7,989.88 : x
  2. Step 2: Convert to fraction form
    27,981.93/41,974.53 = 7,989.88/x
  3. Step 3: Cross multiply
    27,981.93x = 41,974.53 × 7,989.88
  4. Step 4: Simplify right side
    27,981.93x = 335,371,322.86
  5. Step 5: Solve for x
    x = 335,371,322.86/27,981.93
  6. Step 6: Final answer
    x = 11,985.28

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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.