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Finding the Fourth Proportional to 7,147.14, 10,706.09 and 4,218.38

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Solution

The fourth proportional to 7,147.14, 10,706.09 and 4,218.38 is: 6,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.14 : 10,706.09 = 4,218.38 : x
  2. Step 2: Convert to fraction form
    7,147.14/10,706.09 = 4,218.38/x
  3. Step 3: Cross multiply
    7,147.14x = 10,706.09 × 4,218.38
  4. Step 4: Simplify right side
    7,147.14x = 45,162,281.31
  5. Step 5: Solve for x
    x = 45,162,281.31/7,147.14
  6. Step 6: Final answer
    x = 6,318.93

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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.