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Finding the Fourth Proportional to 11,953.64, 17,930.52 and 3,633.72

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Solution

The fourth proportional to 11,953.64, 17,930.52 and 3,633.72 is: 5,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.64 : 17,930.52 = 3,633.72 : x
  2. Step 2: Convert to fraction form
    11,953.64/17,930.52 = 3,633.72/x
  3. Step 3: Cross multiply
    11,953.64x = 17,930.52 × 3,633.72
  4. Step 4: Simplify right side
    11,953.64x = 65,154,489.13
  5. Step 5: Solve for x
    x = 65,154,489.13/11,953.64
  6. Step 6: Final answer
    x = 5,450.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.