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Finding the Fourth Proportional to 7,709.32, 11,569.46 and 6,965.74

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Solution

The fourth proportional to 7,709.32, 11,569.46 and 6,965.74 is: 10,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.32 : 11,569.46 = 6,965.74 : x
  2. Step 2: Convert to fraction form
    7,709.32/11,569.46 = 6,965.74/x
  3. Step 3: Cross multiply
    7,709.32x = 11,569.46 × 6,965.74
  4. Step 4: Simplify right side
    7,709.32x = 80,589,850.30
  5. Step 5: Solve for x
    x = 80,589,850.30/7,709.32
  6. Step 6: Final answer
    x = 10,453.56

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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.