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Finding the Fourth Proportional to 7,369.38, 10,166.85 and 4,223.88

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Solution

The fourth proportional to 7,369.38, 10,166.85 and 4,223.88 is: 5,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.38 : 10,166.85 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    7,369.38/10,166.85 = 4,223.88/x
  3. Step 3: Cross multiply
    7,369.38x = 10,166.85 × 4,223.88
  4. Step 4: Simplify right side
    7,369.38x = 42,943,554.38
  5. Step 5: Solve for x
    x = 42,943,554.38/7,369.38
  6. Step 6: Final answer
    x = 5,827.30

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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.