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Finding the Fourth Proportional to 8,216.83, 11,333.68 and 6,535.27

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Solution

The fourth proportional to 8,216.83, 11,333.68 and 6,535.27 is: 9,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.83 : 11,333.68 = 6,535.27 : x
  2. Step 2: Convert to fraction form
    8,216.83/11,333.68 = 6,535.27/x
  3. Step 3: Cross multiply
    8,216.83x = 11,333.68 × 6,535.27
  4. Step 4: Simplify right side
    8,216.83x = 74,068,658.89
  5. Step 5: Solve for x
    x = 74,068,658.89/8,216.83
  6. Step 6: Final answer
    x = 9,014.26

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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.