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Finding the Fourth Proportional to 7,205.46, 10,789.50 and 6,172.14

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Solution

The fourth proportional to 7,205.46, 10,789.50 and 6,172.14 is: 9,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.46 : 10,789.50 = 6,172.14 : x
  2. Step 2: Convert to fraction form
    7,205.46/10,789.50 = 6,172.14/x
  3. Step 3: Cross multiply
    7,205.46x = 10,789.50 × 6,172.14
  4. Step 4: Simplify right side
    7,205.46x = 66,594,304.53
  5. Step 5: Solve for x
    x = 66,594,304.53/7,205.46
  6. Step 6: Final answer
    x = 9,242.20

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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.