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Finding the Fourth Proportional to 12,278.07, 18,409.03 and 5,951.27

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Solution

The fourth proportional to 12,278.07, 18,409.03 and 5,951.27 is: 8,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.07 : 18,409.03 = 5,951.27 : x
  2. Step 2: Convert to fraction form
    12,278.07/18,409.03 = 5,951.27/x
  3. Step 3: Cross multiply
    12,278.07x = 18,409.03 × 5,951.27
  4. Step 4: Simplify right side
    12,278.07x = 109,557,145.86
  5. Step 5: Solve for x
    x = 109,557,145.86/12,278.07
  6. Step 6: Final answer
    x = 8,923.00

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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.