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Finding the Fourth Proportional to 11,820.52, 17,732.88 and 3,923.50

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Solution

The fourth proportional to 11,820.52, 17,732.88 and 3,923.50 is: 5,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.52 : 17,732.88 = 3,923.50 : x
  2. Step 2: Convert to fraction form
    11,820.52/17,732.88 = 3,923.50/x
  3. Step 3: Cross multiply
    11,820.52x = 17,732.88 × 3,923.50
  4. Step 4: Simplify right side
    11,820.52x = 69,574,954.68
  5. Step 5: Solve for x
    x = 69,574,954.68/11,820.52
  6. Step 6: Final answer
    x = 5,885.95

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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.