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Finding the Fourth Proportional to 7,944.86, 10,968.73 and 6,173.12

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Solution

The fourth proportional to 7,944.86, 10,968.73 and 6,173.12 is: 8,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.86 : 10,968.73 = 6,173.12 : x
  2. Step 2: Convert to fraction form
    7,944.86/10,968.73 = 6,173.12/x
  3. Step 3: Cross multiply
    7,944.86x = 10,968.73 × 6,173.12
  4. Step 4: Simplify right side
    7,944.86x = 67,711,216.26
  5. Step 5: Solve for x
    x = 67,711,216.26/7,944.86
  6. Step 6: Final answer
    x = 8,522.65

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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.