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Finding the Fourth Proportional to 8,214.16, 11,326.88 and 7,548.36

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Solution

The fourth proportional to 8,214.16, 11,326.88 and 7,548.36 is: 10,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.16 : 11,326.88 = 7,548.36 : x
  2. Step 2: Convert to fraction form
    8,214.16/11,326.88 = 7,548.36/x
  3. Step 3: Cross multiply
    8,214.16x = 11,326.88 × 7,548.36
  4. Step 4: Simplify right side
    8,214.16x = 85,499,367.92
  5. Step 5: Solve for x
    x = 85,499,367.92/8,214.16
  6. Step 6: Final answer
    x = 10,408.78

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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.