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Finding the Fourth Proportional to 7,299.86, 10,073.79 and 4,156.04

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Solution

The fourth proportional to 7,299.86, 10,073.79 and 4,156.04 is: 5,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.86 : 10,073.79 = 4,156.04 : x
  2. Step 2: Convert to fraction form
    7,299.86/10,073.79 = 4,156.04/x
  3. Step 3: Cross multiply
    7,299.86x = 10,073.79 × 4,156.04
  4. Step 4: Simplify right side
    7,299.86x = 41,867,099.38
  5. Step 5: Solve for x
    x = 41,867,099.38/7,299.86
  6. Step 6: Final answer
    x = 5,735.33

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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.