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Finding the Fourth Proportional to 11,699.69, 17,546.95 and 3,377.90

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Solution

The fourth proportional to 11,699.69, 17,546.95 and 3,377.90 is: 5,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.69 : 17,546.95 = 3,377.90 : x
  2. Step 2: Convert to fraction form
    11,699.69/17,546.95 = 3,377.90/x
  3. Step 3: Cross multiply
    11,699.69x = 17,546.95 × 3,377.90
  4. Step 4: Simplify right side
    11,699.69x = 59,271,900.00
  5. Step 5: Solve for x
    x = 59,271,900.00/11,699.69
  6. Step 6: Final answer
    x = 5,066.11

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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.