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Finding the Fourth Proportional to 10,725.60, 14,797.85 and 6,951.71

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Solution

The fourth proportional to 10,725.60, 14,797.85 and 6,951.71 is: 9,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.60 : 14,797.85 = 6,951.71 : x
  2. Step 2: Convert to fraction form
    10,725.60/14,797.85 = 6,951.71/x
  3. Step 3: Cross multiply
    10,725.60x = 14,797.85 × 6,951.71
  4. Step 4: Simplify right side
    10,725.60x = 102,870,361.82
  5. Step 5: Solve for x
    x = 102,870,361.82/10,725.60
  6. Step 6: Final answer
    x = 9,591.11

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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.