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Finding the Fourth Proportional to 7,274.75, 10,913.76 and 2,657.75

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Solution

The fourth proportional to 7,274.75, 10,913.76 and 2,657.75 is: 3,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.75 : 10,913.76 = 2,657.75 : x
  2. Step 2: Convert to fraction form
    7,274.75/10,913.76 = 2,657.75/x
  3. Step 3: Cross multiply
    7,274.75x = 10,913.76 × 2,657.75
  4. Step 4: Simplify right side
    7,274.75x = 29,006,045.64
  5. Step 5: Solve for x
    x = 29,006,045.64/7,274.75
  6. Step 6: Final answer
    x = 3,987.22

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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.