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Finding the Fourth Proportional to 11,632.64, 17,449.92 and 4,706.24

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Solution

The fourth proportional to 11,632.64, 17,449.92 and 4,706.24 is: 7,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.64 : 17,449.92 = 4,706.24 : x
  2. Step 2: Convert to fraction form
    11,632.64/17,449.92 = 4,706.24/x
  3. Step 3: Cross multiply
    11,632.64x = 17,449.92 × 4,706.24
  4. Step 4: Simplify right side
    11,632.64x = 82,123,511.50
  5. Step 5: Solve for x
    x = 82,123,511.50/11,632.64
  6. Step 6: Final answer
    x = 7,059.75

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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.