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Finding the Fourth Proportional to 8,085.24, 12,131.46 and 7,954.02

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Solution

The fourth proportional to 8,085.24, 12,131.46 and 7,954.02 is: 11,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.24 : 12,131.46 = 7,954.02 : x
  2. Step 2: Convert to fraction form
    8,085.24/12,131.46 = 7,954.02/x
  3. Step 3: Cross multiply
    8,085.24x = 12,131.46 × 7,954.02
  4. Step 4: Simplify right side
    8,085.24x = 96,493,875.47
  5. Step 5: Solve for x
    x = 96,493,875.47/8,085.24
  6. Step 6: Final answer
    x = 11,934.57

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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.