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Finding the Fourth Proportional to 11,392, 17,088 and 3,184

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Solution

The fourth proportional to 11,392, 17,088 and 3,184 is: 4,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392 : 17,088 = 3,184 : x
  2. Step 2: Convert to fraction form
    11,392/17,088 = 3,184/x
  3. Step 3: Cross multiply
    11,392x = 17,088 × 3,184
  4. Step 4: Simplify right side
    11,392x = 54,408,192
  5. Step 5: Solve for x
    x = 54,408,192/11,392
  6. Step 6: Final answer
    x = 4,776

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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.