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Finding the Fourth Proportional to 7,109.26, 10,665.53 and 2,179.62

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Solution

The fourth proportional to 7,109.26, 10,665.53 and 2,179.62 is: 3,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.26 : 10,665.53 = 2,179.62 : x
  2. Step 2: Convert to fraction form
    7,109.26/10,665.53 = 2,179.62/x
  3. Step 3: Cross multiply
    7,109.26x = 10,665.53 × 2,179.62
  4. Step 4: Simplify right side
    7,109.26x = 23,246,802.50
  5. Step 5: Solve for x
    x = 23,246,802.50/7,109.26
  6. Step 6: Final answer
    x = 3,269.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.