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Finding the Fourth Proportional to 11,784, 17,676 and 3,576

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Solution

The fourth proportional to 11,784, 17,676 and 3,576 is: 5,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 17,676 = 3,576 : x
  2. Step 2: Convert to fraction form
    11,784/17,676 = 3,576/x
  3. Step 3: Cross multiply
    11,784x = 17,676 × 3,576
  4. Step 4: Simplify right side
    11,784x = 63,209,376
  5. Step 5: Solve for x
    x = 63,209,376/11,784
  6. Step 6: Final answer
    x = 5,364

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.