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Finding the Fourth Proportional to 7,659.20, 11,464.92 and 5,899.65

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Solution

The fourth proportional to 7,659.20, 11,464.92 and 5,899.65 is: 8,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.20 : 11,464.92 = 5,899.65 : x
  2. Step 2: Convert to fraction form
    7,659.20/11,464.92 = 5,899.65/x
  3. Step 3: Cross multiply
    7,659.20x = 11,464.92 × 5,899.65
  4. Step 4: Simplify right side
    7,659.20x = 67,639,015.28
  5. Step 5: Solve for x
    x = 67,639,015.28/7,659.20
  6. Step 6: Final answer
    x = 8,831.09

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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.