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Finding the Fourth Proportional to 11,700, 17,553.04 and 3,492

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Solution

The fourth proportional to 11,700, 17,553.04 and 3,492 is: 5,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,553.04 = 3,492 : x
  2. Step 2: Convert to fraction form
    11,700/17,553.04 = 3,492/x
  3. Step 3: Cross multiply
    11,700x = 17,553.04 × 3,492
  4. Step 4: Simplify right side
    11,700x = 61,295,215.68
  5. Step 5: Solve for x
    x = 61,295,215.68/11,700
  6. Step 6: Final answer
    x = 5,238.91

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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.