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Finding the Fourth Proportional to 11,931.76, 17,894.67 and 4,034.09

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Solution

The fourth proportional to 11,931.76, 17,894.67 and 4,034.09 is: 6,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.76 : 17,894.67 = 4,034.09 : x
  2. Step 2: Convert to fraction form
    11,931.76/17,894.67 = 4,034.09/x
  3. Step 3: Cross multiply
    11,931.76x = 17,894.67 × 4,034.09
  4. Step 4: Simplify right side
    11,931.76x = 72,188,660.94
  5. Step 5: Solve for x
    x = 72,188,660.94/11,931.76
  6. Step 6: Final answer
    x = 6,050.13

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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.