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Finding the Fourth Proportional to 8,272.99, 12,409.45 and 3,342.57

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Solution

The fourth proportional to 8,272.99, 12,409.45 and 3,342.57 is: 5,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.99 : 12,409.45 = 3,342.57 : x
  2. Step 2: Convert to fraction form
    8,272.99/12,409.45 = 3,342.57/x
  3. Step 3: Cross multiply
    8,272.99x = 12,409.45 × 3,342.57
  4. Step 4: Simplify right side
    8,272.99x = 41,479,419.20
  5. Step 5: Solve for x
    x = 41,479,419.20/8,272.99
  6. Step 6: Final answer
    x = 5,013.84

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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.