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Finding the Fourth Proportional to 7,274.92, 10,909.98 and 2,343.40

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Solution

The fourth proportional to 7,274.92, 10,909.98 and 2,343.40 is: 3,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.92 : 10,909.98 = 2,343.40 : x
  2. Step 2: Convert to fraction form
    7,274.92/10,909.98 = 2,343.40/x
  3. Step 3: Cross multiply
    7,274.92x = 10,909.98 × 2,343.40
  4. Step 4: Simplify right side
    7,274.92x = 25,566,447.13
  5. Step 5: Solve for x
    x = 25,566,447.13/7,274.92
  6. Step 6: Final answer
    x = 3,514.33

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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.