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Finding the Fourth Proportional to 7,671.54, 10,591.25 and 7,228.68

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Solution

The fourth proportional to 7,671.54, 10,591.25 and 7,228.68 is: 9,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.54 : 10,591.25 = 7,228.68 : x
  2. Step 2: Convert to fraction form
    7,671.54/10,591.25 = 7,228.68/x
  3. Step 3: Cross multiply
    7,671.54x = 10,591.25 × 7,228.68
  4. Step 4: Simplify right side
    7,671.54x = 76,560,720.91
  5. Step 5: Solve for x
    x = 76,560,720.91/7,671.54
  6. Step 6: Final answer
    x = 9,979.84

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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.