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Finding the Fourth Proportional to 8,092.26, 12,129.75 and 5,776.74

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Solution

The fourth proportional to 8,092.26, 12,129.75 and 5,776.74 is: 8,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.26 : 12,129.75 = 5,776.74 : x
  2. Step 2: Convert to fraction form
    8,092.26/12,129.75 = 5,776.74/x
  3. Step 3: Cross multiply
    8,092.26x = 12,129.75 × 5,776.74
  4. Step 4: Simplify right side
    8,092.26x = 70,070,412.02
  5. Step 5: Solve for x
    x = 70,070,412.02/8,092.26
  6. Step 6: Final answer
    x = 8,658.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.