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Finding the Fourth Proportional to 7,119.54, 10,662.90 and 4,929.82

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Solution

The fourth proportional to 7,119.54, 10,662.90 and 4,929.82 is: 7,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.54 : 10,662.90 = 4,929.82 : x
  2. Step 2: Convert to fraction form
    7,119.54/10,662.90 = 4,929.82/x
  3. Step 3: Cross multiply
    7,119.54x = 10,662.90 × 4,929.82
  4. Step 4: Simplify right side
    7,119.54x = 52,566,177.68
  5. Step 5: Solve for x
    x = 52,566,177.68/7,119.54
  6. Step 6: Final answer
    x = 7,383.37

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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.