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Finding the Fourth Proportional to 11,080, 16,620 and 3,784

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Solution

The fourth proportional to 11,080, 16,620 and 3,784 is: 5,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 16,620 = 3,784 : x
  2. Step 2: Convert to fraction form
    11,080/16,620 = 3,784/x
  3. Step 3: Cross multiply
    11,080x = 16,620 × 3,784
  4. Step 4: Simplify right side
    11,080x = 62,890,080
  5. Step 5: Solve for x
    x = 62,890,080/11,080
  6. Step 6: Final answer
    x = 5,676

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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.