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Finding the Fourth Proportional to 7,164.88, 10,744.62 and 3,465.88

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Solution

The fourth proportional to 7,164.88, 10,744.62 and 3,465.88 is: 5,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.88 : 10,744.62 = 3,465.88 : x
  2. Step 2: Convert to fraction form
    7,164.88/10,744.62 = 3,465.88/x
  3. Step 3: Cross multiply
    7,164.88x = 10,744.62 × 3,465.88
  4. Step 4: Simplify right side
    7,164.88x = 37,239,563.57
  5. Step 5: Solve for x
    x = 37,239,563.57/7,164.88
  6. Step 6: Final answer
    x = 5,197.51

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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.