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Finding the Fourth Proportional to 7,668.06, 11,487.50 and 3,964.74

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Solution

The fourth proportional to 7,668.06, 11,487.50 and 3,964.74 is: 5,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.06 : 11,487.50 = 3,964.74 : x
  2. Step 2: Convert to fraction form
    7,668.06/11,487.50 = 3,964.74/x
  3. Step 3: Cross multiply
    7,668.06x = 11,487.50 × 3,964.74
  4. Step 4: Simplify right side
    7,668.06x = 45,544,950.75
  5. Step 5: Solve for x
    x = 45,544,950.75/7,668.06
  6. Step 6: Final answer
    x = 5,939.57

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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.