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Finding the Fourth Proportional to 7,969.12, 10,997.44 and 4,432.48

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Solution

The fourth proportional to 7,969.12, 10,997.44 and 4,432.48 is: 6,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.12 : 10,997.44 = 4,432.48 : x
  2. Step 2: Convert to fraction form
    7,969.12/10,997.44 = 4,432.48/x
  3. Step 3: Cross multiply
    7,969.12x = 10,997.44 × 4,432.48
  4. Step 4: Simplify right side
    7,969.12x = 48,745,932.85
  5. Step 5: Solve for x
    x = 48,745,932.85/7,969.12
  6. Step 6: Final answer
    x = 6,116.85

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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.