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Finding the Fourth Proportional to 8,771.58, 12,103.74 and 5,234.04

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Solution

The fourth proportional to 8,771.58, 12,103.74 and 5,234.04 is: 7,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.58 : 12,103.74 = 5,234.04 : x
  2. Step 2: Convert to fraction form
    8,771.58/12,103.74 = 5,234.04/x
  3. Step 3: Cross multiply
    8,771.58x = 12,103.74 × 5,234.04
  4. Step 4: Simplify right side
    8,771.58x = 63,351,459.31
  5. Step 5: Solve for x
    x = 63,351,459.31/8,771.58
  6. Step 6: Final answer
    x = 7,222.35

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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.