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Finding the Fourth Proportional to 7,377.99, 10,180.47 and 4,233.57

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Solution

The fourth proportional to 7,377.99, 10,180.47 and 4,233.57 is: 5,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.99 : 10,180.47 = 4,233.57 : x
  2. Step 2: Convert to fraction form
    7,377.99/10,180.47 = 4,233.57/x
  3. Step 3: Cross multiply
    7,377.99x = 10,180.47 × 4,233.57
  4. Step 4: Simplify right side
    7,377.99x = 43,099,732.38
  5. Step 5: Solve for x
    x = 43,099,732.38/7,377.99
  6. Step 6: Final answer
    x = 5,841.66

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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.