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Finding the Fourth Proportional to 8,214.34, 11,323.92 and 6,536.44

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Solution

The fourth proportional to 8,214.34, 11,323.92 and 6,536.44 is: 9,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.34 : 11,323.92 = 6,536.44 : x
  2. Step 2: Convert to fraction form
    8,214.34/11,323.92 = 6,536.44/x
  3. Step 3: Cross multiply
    8,214.34x = 11,323.92 × 6,536.44
  4. Step 4: Simplify right side
    8,214.34x = 74,018,123.64
  5. Step 5: Solve for x
    x = 74,018,123.64/8,214.34
  6. Step 6: Final answer
    x = 9,010.84

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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.