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Finding the Fourth Proportional to 7,837.08, 10,814.49 and 4,299.41

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Solution

The fourth proportional to 7,837.08, 10,814.49 and 4,299.41 is: 5,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.08 : 10,814.49 = 4,299.41 : x
  2. Step 2: Convert to fraction form
    7,837.08/10,814.49 = 4,299.41/x
  3. Step 3: Cross multiply
    7,837.08x = 10,814.49 × 4,299.41
  4. Step 4: Simplify right side
    7,837.08x = 46,495,872.38
  5. Step 5: Solve for x
    x = 46,495,872.38/7,837.08
  6. Step 6: Final answer
    x = 5,932.81

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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.