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Finding the Fourth Proportional to 7,380.08, 10,194.48 and 5,898.38

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Solution

The fourth proportional to 7,380.08, 10,194.48 and 5,898.38 is: 8,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.08 : 10,194.48 = 5,898.38 : x
  2. Step 2: Convert to fraction form
    7,380.08/10,194.48 = 5,898.38/x
  3. Step 3: Cross multiply
    7,380.08x = 10,194.48 × 5,898.38
  4. Step 4: Simplify right side
    7,380.08x = 60,130,916.94
  5. Step 5: Solve for x
    x = 60,130,916.94/7,380.08
  6. Step 6: Final answer
    x = 8,147.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.