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Finding the Fourth Proportional to 7,356.80, 11,035.84 and 2,091.84

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Solution

The fourth proportional to 7,356.80, 11,035.84 and 2,091.84 is: 3,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.80 : 11,035.84 = 2,091.84 : x
  2. Step 2: Convert to fraction form
    7,356.80/11,035.84 = 2,091.84/x
  3. Step 3: Cross multiply
    7,356.80x = 11,035.84 × 2,091.84
  4. Step 4: Simplify right side
    7,356.80x = 23,085,211.55
  5. Step 5: Solve for x
    x = 23,085,211.55/7,356.80
  6. Step 6: Final answer
    x = 3,137.94

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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.