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Finding the Fourth Proportional to 11,493.62, 17,243.14 and 3,702.14

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Solution

The fourth proportional to 11,493.62, 17,243.14 and 3,702.14 is: 5,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.62 : 17,243.14 = 3,702.14 : x
  2. Step 2: Convert to fraction form
    11,493.62/17,243.14 = 3,702.14/x
  3. Step 3: Cross multiply
    11,493.62x = 17,243.14 × 3,702.14
  4. Step 4: Simplify right side
    11,493.62x = 63,836,518.32
  5. Step 5: Solve for x
    x = 63,836,518.32/11,493.62
  6. Step 6: Final answer
    x = 5,554.08

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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.