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Finding the Fourth Proportional to 7,289.52, 10,934.24 and 2,095.44

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Solution

The fourth proportional to 7,289.52, 10,934.24 and 2,095.44 is: 3,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.52 : 10,934.24 = 2,095.44 : x
  2. Step 2: Convert to fraction form
    7,289.52/10,934.24 = 2,095.44/x
  3. Step 3: Cross multiply
    7,289.52x = 10,934.24 × 2,095.44
  4. Step 4: Simplify right side
    7,289.52x = 22,912,043.87
  5. Step 5: Solve for x
    x = 22,912,043.87/7,289.52
  6. Step 6: Final answer
    x = 3,143.15

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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.