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Finding the Fourth Proportional to 7,293.93, 10,942.49 and 2,363.46

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Solution

The fourth proportional to 7,293.93, 10,942.49 and 2,363.46 is: 3,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.93 : 10,942.49 = 2,363.46 : x
  2. Step 2: Convert to fraction form
    7,293.93/10,942.49 = 2,363.46/x
  3. Step 3: Cross multiply
    7,293.93x = 10,942.49 × 2,363.46
  4. Step 4: Simplify right side
    7,293.93x = 25,862,125.60
  5. Step 5: Solve for x
    x = 25,862,125.60/7,293.93
  6. Step 6: Final answer
    x = 3,545.71

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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.