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Finding the Fourth Proportional to 7,112.88, 10,668.24 and 2,433.02

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Solution

The fourth proportional to 7,112.88, 10,668.24 and 2,433.02 is: 3,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.88 : 10,668.24 = 2,433.02 : x
  2. Step 2: Convert to fraction form
    7,112.88/10,668.24 = 2,433.02/x
  3. Step 3: Cross multiply
    7,112.88x = 10,668.24 × 2,433.02
  4. Step 4: Simplify right side
    7,112.88x = 25,955,987.94
  5. Step 5: Solve for x
    x = 25,955,987.94/7,112.88
  6. Step 6: Final answer
    x = 3,649.15

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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.