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Finding the Fourth Proportional to 7,438.68, 10,260.81 and 6,172.38

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Solution

The fourth proportional to 7,438.68, 10,260.81 and 6,172.38 is: 8,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.68 : 10,260.81 = 6,172.38 : x
  2. Step 2: Convert to fraction form
    7,438.68/10,260.81 = 6,172.38/x
  3. Step 3: Cross multiply
    7,438.68x = 10,260.81 × 6,172.38
  4. Step 4: Simplify right side
    7,438.68x = 63,333,618.43
  5. Step 5: Solve for x
    x = 63,333,618.43/7,438.68
  6. Step 6: Final answer
    x = 8,514.09

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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.