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Finding the Fourth Proportional to 7,829.38, 10,809.21 and 5,179.06

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Solution

The fourth proportional to 7,829.38, 10,809.21 and 5,179.06 is: 7,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.38 : 10,809.21 = 5,179.06 : x
  2. Step 2: Convert to fraction form
    7,829.38/10,809.21 = 5,179.06/x
  3. Step 3: Cross multiply
    7,829.38x = 10,809.21 × 5,179.06
  4. Step 4: Simplify right side
    7,829.38x = 55,981,547.14
  5. Step 5: Solve for x
    x = 55,981,547.14/7,829.38
  6. Step 6: Final answer
    x = 7,150.19

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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.