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Finding the Fourth Proportional to 8,092.24, 11,166.28 and 4,734.40

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Solution

The fourth proportional to 8,092.24, 11,166.28 and 4,734.40 is: 6,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.24 : 11,166.28 = 4,734.40 : x
  2. Step 2: Convert to fraction form
    8,092.24/11,166.28 = 4,734.40/x
  3. Step 3: Cross multiply
    8,092.24x = 11,166.28 × 4,734.40
  4. Step 4: Simplify right side
    8,092.24x = 52,865,636.03
  5. Step 5: Solve for x
    x = 52,865,636.03/8,092.24
  6. Step 6: Final answer
    x = 6,532.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.