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Finding the Fourth Proportional to 7,476.50, 11,211.96 and 2,477.95

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Solution

The fourth proportional to 7,476.50, 11,211.96 and 2,477.95 is: 3,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.50 : 11,211.96 = 2,477.95 : x
  2. Step 2: Convert to fraction form
    7,476.50/11,211.96 = 2,477.95/x
  3. Step 3: Cross multiply
    7,476.50x = 11,211.96 × 2,477.95
  4. Step 4: Simplify right side
    7,476.50x = 27,782,734.64
  5. Step 5: Solve for x
    x = 27,782,734.64/7,476.50
  6. Step 6: Final answer
    x = 3,716.01

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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.