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Finding the Fourth Proportional to 10,634.90, 15,928.04 and 5,092.13

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Solution

The fourth proportional to 10,634.90, 15,928.04 and 5,092.13 is: 7,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.90 : 15,928.04 = 5,092.13 : x
  2. Step 2: Convert to fraction form
    10,634.90/15,928.04 = 5,092.13/x
  3. Step 3: Cross multiply
    10,634.90x = 15,928.04 × 5,092.13
  4. Step 4: Simplify right side
    10,634.90x = 81,107,702.88
  5. Step 5: Solve for x
    x = 81,107,702.88/10,634.90
  6. Step 6: Final answer
    x = 7,626.56

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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.