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Finding the Fourth Proportional to 11,872, 17,808.24 and 3,664

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Solution

The fourth proportional to 11,872, 17,808.24 and 3,664 is: 5,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872 : 17,808.24 = 3,664 : x
  2. Step 2: Convert to fraction form
    11,872/17,808.24 = 3,664/x
  3. Step 3: Cross multiply
    11,872x = 17,808.24 × 3,664
  4. Step 4: Simplify right side
    11,872x = 65,249,391.36
  5. Step 5: Solve for x
    x = 65,249,391.36/11,872
  6. Step 6: Final answer
    x = 5,496.07

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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.