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Finding the Fourth Proportional to 7,648.14, 11,475.41 and 3,206.64

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Solution

The fourth proportional to 7,648.14, 11,475.41 and 3,206.64 is: 4,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.14 : 11,475.41 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    7,648.14/11,475.41 = 3,206.64/x
  3. Step 3: Cross multiply
    7,648.14x = 11,475.41 × 3,206.64
  4. Step 4: Simplify right side
    7,648.14x = 36,797,471.17
  5. Step 5: Solve for x
    x = 36,797,471.17/7,648.14
  6. Step 6: Final answer
    x = 4,811.30

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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.