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Finding the Fourth Proportional to 11,576, 17,364.80 and 5,731.04

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Solution

The fourth proportional to 11,576, 17,364.80 and 5,731.04 is: 8,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 17,364.80 = 5,731.04 : x
  2. Step 2: Convert to fraction form
    11,576/17,364.80 = 5,731.04/x
  3. Step 3: Cross multiply
    11,576x = 17,364.80 × 5,731.04
  4. Step 4: Simplify right side
    11,576x = 99,518,363.39
  5. Step 5: Solve for x
    x = 99,518,363.39/11,576
  6. Step 6: Final answer
    x = 8,596.96

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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.