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Finding the Fourth Proportional to 7,286.34, 10,052.02 and 4,302.30

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Solution

The fourth proportional to 7,286.34, 10,052.02 and 4,302.30 is: 5,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.34 : 10,052.02 = 4,302.30 : x
  2. Step 2: Convert to fraction form
    7,286.34/10,052.02 = 4,302.30/x
  3. Step 3: Cross multiply
    7,286.34x = 10,052.02 × 4,302.30
  4. Step 4: Simplify right side
    7,286.34x = 43,246,805.65
  5. Step 5: Solve for x
    x = 43,246,805.65/7,286.34
  6. Step 6: Final answer
    x = 5,935.33

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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.