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Finding the Fourth Proportional to 7,112.28, 10,670.43 and 2,433.30

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Solution

The fourth proportional to 7,112.28, 10,670.43 and 2,433.30 is: 3,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.28 : 10,670.43 = 2,433.30 : x
  2. Step 2: Convert to fraction form
    7,112.28/10,670.43 = 2,433.30/x
  3. Step 3: Cross multiply
    7,112.28x = 10,670.43 × 2,433.30
  4. Step 4: Simplify right side
    7,112.28x = 25,964,357.32
  5. Step 5: Solve for x
    x = 25,964,357.32/7,112.28
  6. Step 6: Final answer
    x = 3,650.64

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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.