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Finding the Fourth Proportional to 7,295.75, 10,942.71 and 2,031.15

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Solution

The fourth proportional to 7,295.75, 10,942.71 and 2,031.15 is: 3,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.75 : 10,942.71 = 2,031.15 : x
  2. Step 2: Convert to fraction form
    7,295.75/10,942.71 = 2,031.15/x
  3. Step 3: Cross multiply
    7,295.75x = 10,942.71 × 2,031.15
  4. Step 4: Simplify right side
    7,295.75x = 22,226,285.42
  5. Step 5: Solve for x
    x = 22,226,285.42/7,295.75
  6. Step 6: Final answer
    x = 3,046.47

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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.