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Finding the Fourth Proportional to 11,584.96, 17,376.64 and 5,006.56

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Solution

The fourth proportional to 11,584.96, 17,376.64 and 5,006.56 is: 7,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.96 : 17,376.64 = 5,006.56 : x
  2. Step 2: Convert to fraction form
    11,584.96/17,376.64 = 5,006.56/x
  3. Step 3: Cross multiply
    11,584.96x = 17,376.64 × 5,006.56
  4. Step 4: Simplify right side
    11,584.96x = 86,997,190.76
  5. Step 5: Solve for x
    x = 86,997,190.76/11,584.96
  6. Step 6: Final answer
    x = 7,509.49

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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.