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Finding the Fourth Proportional to 11,725.62, 17,564.86 and 5,477.01

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Solution

The fourth proportional to 11,725.62, 17,564.86 and 5,477.01 is: 8,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.62 : 17,564.86 = 5,477.01 : x
  2. Step 2: Convert to fraction form
    11,725.62/17,564.86 = 5,477.01/x
  3. Step 3: Cross multiply
    11,725.62x = 17,564.86 × 5,477.01
  4. Step 4: Simplify right side
    11,725.62x = 96,202,913.87
  5. Step 5: Solve for x
    x = 96,202,913.87/11,725.62
  6. Step 6: Final answer
    x = 8,204.51

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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.