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Finding the Fourth Proportional to 7,668.15, 11,505.06 and 3,289.02

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Solution

The fourth proportional to 7,668.15, 11,505.06 and 3,289.02 is: 4,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.15 : 11,505.06 = 3,289.02 : x
  2. Step 2: Convert to fraction form
    7,668.15/11,505.06 = 3,289.02/x
  3. Step 3: Cross multiply
    7,668.15x = 11,505.06 × 3,289.02
  4. Step 4: Simplify right side
    7,668.15x = 37,840,372.44
  5. Step 5: Solve for x
    x = 37,840,372.44/7,668.15
  6. Step 6: Final answer
    x = 4,934.75

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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.