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Finding the Fourth Proportional to 8,262.75, 12,403.85 and 6,892.23

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Solution

The fourth proportional to 8,262.75, 12,403.85 and 6,892.23 is: 10,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.75 : 12,403.85 = 6,892.23 : x
  2. Step 2: Convert to fraction form
    8,262.75/12,403.85 = 6,892.23/x
  3. Step 3: Cross multiply
    8,262.75x = 12,403.85 × 6,892.23
  4. Step 4: Simplify right side
    8,262.75x = 85,490,152.62
  5. Step 5: Solve for x
    x = 85,490,152.62/8,262.75
  6. Step 6: Final answer
    x = 10,346.45

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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.