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Finding the Fourth Proportional to 7,494.84, 11,229.96 and 2,561.80

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Solution

The fourth proportional to 7,494.84, 11,229.96 and 2,561.80 is: 3,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.84 : 11,229.96 = 2,561.80 : x
  2. Step 2: Convert to fraction form
    7,494.84/11,229.96 = 2,561.80/x
  3. Step 3: Cross multiply
    7,494.84x = 11,229.96 × 2,561.80
  4. Step 4: Simplify right side
    7,494.84x = 28,768,911.53
  5. Step 5: Solve for x
    x = 28,768,911.53/7,494.84
  6. Step 6: Final answer
    x = 3,838.50

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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.