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Finding the Fourth Proportional to 7,609.38, 10,495.39 and 5,087.06

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Solution

The fourth proportional to 7,609.38, 10,495.39 and 5,087.06 is: 7,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.38 : 10,495.39 = 5,087.06 : x
  2. Step 2: Convert to fraction form
    7,609.38/10,495.39 = 5,087.06/x
  3. Step 3: Cross multiply
    7,609.38x = 10,495.39 × 5,087.06
  4. Step 4: Simplify right side
    7,609.38x = 53,390,678.65
  5. Step 5: Solve for x
    x = 53,390,678.65/7,609.38
  6. Step 6: Final answer
    x = 7,016.43

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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.