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Finding the Fourth Proportional to 7,874.22, 10,866.38 and 4,337.66

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Solution

The fourth proportional to 7,874.22, 10,866.38 and 4,337.66 is: 5,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.22 : 10,866.38 = 4,337.66 : x
  2. Step 2: Convert to fraction form
    7,874.22/10,866.38 = 4,337.66/x
  3. Step 3: Cross multiply
    7,874.22x = 10,866.38 × 4,337.66
  4. Step 4: Simplify right side
    7,874.22x = 47,134,661.87
  5. Step 5: Solve for x
    x = 47,134,661.87/7,874.22
  6. Step 6: Final answer
    x = 5,985.95

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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.