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Finding the Fourth Proportional to 11,133.39, 16,699.68 and 3,342

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Solution

The fourth proportional to 11,133.39, 16,699.68 and 3,342 is: 5,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.39 : 16,699.68 = 3,342 : x
  2. Step 2: Convert to fraction form
    11,133.39/16,699.68 = 3,342/x
  3. Step 3: Cross multiply
    11,133.39x = 16,699.68 × 3,342
  4. Step 4: Simplify right side
    11,133.39x = 55,810,330.56
  5. Step 5: Solve for x
    x = 55,810,330.56/11,133.39
  6. Step 6: Final answer
    x = 5,012.88

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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.