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Finding the Fourth Proportional to 7,662.38, 10,574.42 and 4,304.93

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Solution

The fourth proportional to 7,662.38, 10,574.42 and 4,304.93 is: 5,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.38 : 10,574.42 = 4,304.93 : x
  2. Step 2: Convert to fraction form
    7,662.38/10,574.42 = 4,304.93/x
  3. Step 3: Cross multiply
    7,662.38x = 10,574.42 × 4,304.93
  4. Step 4: Simplify right side
    7,662.38x = 45,522,063.49
  5. Step 5: Solve for x
    x = 45,522,063.49/7,662.38
  6. Step 6: Final answer
    x = 5,940.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.