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Finding the Fourth Proportional to 8,202.14, 12,303.26 and 2,655.46

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Solution

The fourth proportional to 8,202.14, 12,303.26 and 2,655.46 is: 3,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.14 : 12,303.26 = 2,655.46 : x
  2. Step 2: Convert to fraction form
    8,202.14/12,303.26 = 2,655.46/x
  3. Step 3: Cross multiply
    8,202.14x = 12,303.26 × 2,655.46
  4. Step 4: Simplify right side
    8,202.14x = 32,670,814.80
  5. Step 5: Solve for x
    x = 32,670,814.80/8,202.14
  6. Step 6: Final answer
    x = 3,983.21

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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.