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Finding the Fourth Proportional to 7,295.29, 10,942.84 and 3,345.43

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Solution

The fourth proportional to 7,295.29, 10,942.84 and 3,345.43 is: 5,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.29 : 10,942.84 = 3,345.43 : x
  2. Step 2: Convert to fraction form
    7,295.29/10,942.84 = 3,345.43/x
  3. Step 3: Cross multiply
    7,295.29x = 10,942.84 × 3,345.43
  4. Step 4: Simplify right side
    7,295.29x = 36,608,469.50
  5. Step 5: Solve for x
    x = 36,608,469.50/7,295.29
  6. Step 6: Final answer
    x = 5,018.10

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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.