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Finding the Fourth Proportional to 6,762.32, 10,145.08 and 2,145.32

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Solution

The fourth proportional to 6,762.32, 10,145.08 and 2,145.32 is: 3,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.32 : 10,145.08 = 2,145.32 : x
  2. Step 2: Convert to fraction form
    6,762.32/10,145.08 = 2,145.32/x
  3. Step 3: Cross multiply
    6,762.32x = 10,145.08 × 2,145.32
  4. Step 4: Simplify right side
    6,762.32x = 21,764,443.03
  5. Step 5: Solve for x
    x = 21,764,443.03/6,762.32
  6. Step 6: Final answer
    x = 3,218.49

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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.