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Finding the Fourth Proportional to 7,288.92, 10,935.27 and 2,094.84

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Solution

The fourth proportional to 7,288.92, 10,935.27 and 2,094.84 is: 3,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.92 : 10,935.27 = 2,094.84 : x
  2. Step 2: Convert to fraction form
    7,288.92/10,935.27 = 2,094.84/x
  3. Step 3: Cross multiply
    7,288.92x = 10,935.27 × 2,094.84
  4. Step 4: Simplify right side
    7,288.92x = 22,907,641.01
  5. Step 5: Solve for x
    x = 22,907,641.01/7,288.92
  6. Step 6: Final answer
    x = 3,142.80

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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.