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Finding the Fourth Proportional to 7,874.15, 10,866.32 and 4,337.37

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Solution

The fourth proportional to 7,874.15, 10,866.32 and 4,337.37 is: 5,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.15 : 10,866.32 = 4,337.37 : x
  2. Step 2: Convert to fraction form
    7,874.15/10,866.32 = 4,337.37/x
  3. Step 3: Cross multiply
    7,874.15x = 10,866.32 × 4,337.37
  4. Step 4: Simplify right side
    7,874.15x = 47,131,250.38
  5. Step 5: Solve for x
    x = 47,131,250.38/7,874.15
  6. Step 6: Final answer
    x = 5,985.57

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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.