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Finding the Fourth Proportional to 11,520.64, 17,283.71 and 3,729.46

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Solution

The fourth proportional to 11,520.64, 17,283.71 and 3,729.46 is: 5,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.64 : 17,283.71 = 3,729.46 : x
  2. Step 2: Convert to fraction form
    11,520.64/17,283.71 = 3,729.46/x
  3. Step 3: Cross multiply
    11,520.64x = 17,283.71 × 3,729.46
  4. Step 4: Simplify right side
    11,520.64x = 64,458,800.03
  5. Step 5: Solve for x
    x = 64,458,800.03/11,520.64
  6. Step 6: Final answer
    x = 5,595.07

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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.