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Finding the Fourth Proportional to 7,666.32, 11,489.73 and 3,967.86

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Solution

The fourth proportional to 7,666.32, 11,489.73 and 3,967.86 is: 5,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.32 : 11,489.73 = 3,967.86 : x
  2. Step 2: Convert to fraction form
    7,666.32/11,489.73 = 3,967.86/x
  3. Step 3: Cross multiply
    7,666.32x = 11,489.73 × 3,967.86
  4. Step 4: Simplify right side
    7,666.32x = 45,589,640.08
  5. Step 5: Solve for x
    x = 45,589,640.08/7,666.32
  6. Step 6: Final answer
    x = 5,946.74

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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.