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Finding the Fourth Proportional to 7,674.06, 11,505.60 and 3,289.13

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Solution

The fourth proportional to 7,674.06, 11,505.60 and 3,289.13 is: 4,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.06 : 11,505.60 = 3,289.13 : x
  2. Step 2: Convert to fraction form
    7,674.06/11,505.60 = 3,289.13/x
  3. Step 3: Cross multiply
    7,674.06x = 11,505.60 × 3,289.13
  4. Step 4: Simplify right side
    7,674.06x = 37,843,414.13
  5. Step 5: Solve for x
    x = 37,843,414.13/7,674.06
  6. Step 6: Final answer
    x = 4,931.34

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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.