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Finding the Fourth Proportional to 8,436.40, 12,662.70 and 7,205.20

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Solution

The fourth proportional to 8,436.40, 12,662.70 and 7,205.20 is: 10,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.40 : 12,662.70 = 7,205.20 : x
  2. Step 2: Convert to fraction form
    8,436.40/12,662.70 = 7,205.20/x
  3. Step 3: Cross multiply
    8,436.40x = 12,662.70 × 7,205.20
  4. Step 4: Simplify right side
    8,436.40x = 91,237,286.04
  5. Step 5: Solve for x
    x = 91,237,286.04/8,436.40
  6. Step 6: Final answer
    x = 10,814.72

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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.