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Finding the Fourth Proportional to 8,214.84, 11,324.61 and 6,536.94

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Solution

The fourth proportional to 8,214.84, 11,324.61 and 6,536.94 is: 9,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.84 : 11,324.61 = 6,536.94 : x
  2. Step 2: Convert to fraction form
    8,214.84/11,324.61 = 6,536.94/x
  3. Step 3: Cross multiply
    8,214.84x = 11,324.61 × 6,536.94
  4. Step 4: Simplify right side
    8,214.84x = 74,028,296.09
  5. Step 5: Solve for x
    x = 74,028,296.09/8,214.84
  6. Step 6: Final answer
    x = 9,011.53

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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.