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Finding the Fourth Proportional to 8,358.81, 11,532.83 and 6,584.91

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Solution

The fourth proportional to 8,358.81, 11,532.83 and 6,584.91 is: 9,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.81 : 11,532.83 = 6,584.91 : x
  2. Step 2: Convert to fraction form
    8,358.81/11,532.83 = 6,584.91/x
  3. Step 3: Cross multiply
    8,358.81x = 11,532.83 × 6,584.91
  4. Step 4: Simplify right side
    8,358.81x = 75,942,614.67
  5. Step 5: Solve for x
    x = 75,942,614.67/8,358.81
  6. Step 6: Final answer
    x = 9,085.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.