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Finding the Fourth Proportional to 11,544, 17,323.68 and 4,248

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Solution

The fourth proportional to 11,544, 17,323.68 and 4,248 is: 6,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544 : 17,323.68 = 4,248 : x
  2. Step 2: Convert to fraction form
    11,544/17,323.68 = 4,248/x
  3. Step 3: Cross multiply
    11,544x = 17,323.68 × 4,248
  4. Step 4: Simplify right side
    11,544x = 73,590,992.64
  5. Step 5: Solve for x
    x = 73,590,992.64/11,544
  6. Step 6: Final answer
    x = 6,374.83

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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.