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Finding the Fourth Proportional to 11,754.09, 17,632.79 and 3,434.72

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Solution

The fourth proportional to 11,754.09, 17,632.79 and 3,434.72 is: 5,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.09 : 17,632.79 = 3,434.72 : x
  2. Step 2: Convert to fraction form
    11,754.09/17,632.79 = 3,434.72/x
  3. Step 3: Cross multiply
    11,754.09x = 17,632.79 × 3,434.72
  4. Step 4: Simplify right side
    11,754.09x = 60,563,591.13
  5. Step 5: Solve for x
    x = 60,563,591.13/11,754.09
  6. Step 6: Final answer
    x = 5,152.55

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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.