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Finding the Fourth Proportional to 11,354, 17,031.96 and 3,146

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Solution

The fourth proportional to 11,354, 17,031.96 and 3,146 is: 4,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354 : 17,031.96 = 3,146 : x
  2. Step 2: Convert to fraction form
    11,354/17,031.96 = 3,146/x
  3. Step 3: Cross multiply
    11,354x = 17,031.96 × 3,146
  4. Step 4: Simplify right side
    11,354x = 53,582,546.16
  5. Step 5: Solve for x
    x = 53,582,546.16/11,354
  6. Step 6: Final answer
    x = 4,719.27

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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.