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Finding the Fourth Proportional to 8,284.04, 11,431.50 and 4,558.04

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Solution

The fourth proportional to 8,284.04, 11,431.50 and 4,558.04 is: 6,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.04 : 11,431.50 = 4,558.04 : x
  2. Step 2: Convert to fraction form
    8,284.04/11,431.50 = 4,558.04/x
  3. Step 3: Cross multiply
    8,284.04x = 11,431.50 × 4,558.04
  4. Step 4: Simplify right side
    8,284.04x = 52,105,234.26
  5. Step 5: Solve for x
    x = 52,105,234.26/8,284.04
  6. Step 6: Final answer
    x = 6,289.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.