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Finding the Fourth Proportional to 8,253.35, 12,362.42 and 3,814.64

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Solution

The fourth proportional to 8,253.35, 12,362.42 and 3,814.64 is: 5,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.35 : 12,362.42 = 3,814.64 : x
  2. Step 2: Convert to fraction form
    8,253.35/12,362.42 = 3,814.64/x
  3. Step 3: Cross multiply
    8,253.35x = 12,362.42 × 3,814.64
  4. Step 4: Simplify right side
    8,253.35x = 47,158,100.94
  5. Step 5: Solve for x
    x = 47,158,100.94/8,253.35
  6. Step 6: Final answer
    x = 5,713.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.